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Finding the Fourth Proportional to 1,589.52, 2,193.30 and 890.76

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Solution

The fourth proportional to 1,589.52, 2,193.30 and 890.76 is: 1,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.52 : 2,193.30 = 890.76 : x
  2. Step 2: Convert to fraction form
    1,589.52/2,193.30 = 890.76/x
  3. Step 3: Cross multiply
    1,589.52x = 2,193.30 × 890.76
  4. Step 4: Simplify right side
    1,589.52x = 1,953,703.91
  5. Step 5: Solve for x
    x = 1,953,703.91/1,589.52
  6. Step 6: Final answer
    x = 1,229.12

Related Problems

Find fourth proportional to 794.76, 1,096.65 and 445.38
Half scale
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Double scale
Find fourth proportional to 1,590.52, 2,194.68 and 891.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.