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Finding the Fourth Proportional to 457.92, 689.57 and 337.02

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Solution

The fourth proportional to 457.92, 689.57 and 337.02 is: 507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 689.57 = 337.02 : x
  2. Step 2: Convert to fraction form
    457.92/689.57 = 337.02/x
  3. Step 3: Cross multiply
    457.92x = 689.57 × 337.02
  4. Step 4: Simplify right side
    457.92x = 232,397.20
  5. Step 5: Solve for x
    x = 232,397.20/457.92
  6. Step 6: Final answer
    x = 507.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.