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Finding the Fourth Proportional to 502.56, 750.24 and 457.20

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Solution

The fourth proportional to 502.56, 750.24 and 457.20 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 750.24 = 457.20 : x
  2. Step 2: Convert to fraction form
    502.56/750.24 = 457.20/x
  3. Step 3: Cross multiply
    502.56x = 750.24 × 457.20
  4. Step 4: Simplify right side
    502.56x = 343,009.73
  5. Step 5: Solve for x
    x = 343,009.73/502.56
  6. Step 6: Final answer
    x = 682.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.