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Finding the Fourth Proportional to 1,589.84, 2,193.92 and 891.22

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Solution

The fourth proportional to 1,589.84, 2,193.92 and 891.22 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.84 : 2,193.92 = 891.22 : x
  2. Step 2: Convert to fraction form
    1,589.84/2,193.92 = 891.22/x
  3. Step 3: Cross multiply
    1,589.84x = 2,193.92 × 891.22
  4. Step 4: Simplify right side
    1,589.84x = 1,955,265.38
  5. Step 5: Solve for x
    x = 1,955,265.38/1,589.84
  6. Step 6: Final answer
    x = 1,229.85

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Half scale
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Double scale
Find fourth proportional to 1,590.84, 2,195.30 and 892.22
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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.