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Finding the Fourth Proportional to 502.56, 691.38 and 455.94

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Solution

The fourth proportional to 502.56, 691.38 and 455.94 is: 627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 691.38 = 455.94 : x
  2. Step 2: Convert to fraction form
    502.56/691.38 = 455.94/x
  3. Step 3: Cross multiply
    502.56x = 691.38 × 455.94
  4. Step 4: Simplify right side
    502.56x = 315,227.80
  5. Step 5: Solve for x
    x = 315,227.80/502.56
  6. Step 6: Final answer
    x = 627.24

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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.