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Finding the Fourth Proportional to 1,589.75, 2,193.86 and 968.75

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Solution

The fourth proportional to 1,589.75, 2,193.86 and 968.75 is: 1,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.75 : 2,193.86 = 968.75 : x
  2. Step 2: Convert to fraction form
    1,589.75/2,193.86 = 968.75/x
  3. Step 3: Cross multiply
    1,589.75x = 2,193.86 × 968.75
  4. Step 4: Simplify right side
    1,589.75x = 2,125,301.88
  5. Step 5: Solve for x
    x = 2,125,301.88/1,589.75
  6. Step 6: Final answer
    x = 1,336.88

Related Problems

Find fourth proportional to 794.88, 1,096.93 and 484.38
Half scale
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Double scale
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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.