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Finding the Fourth Proportional to 502.56, 755.06 and 457.61

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Solution

The fourth proportional to 502.56, 755.06 and 457.61 is: 687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 755.06 = 457.61 : x
  2. Step 2: Convert to fraction form
    502.56/755.06 = 457.61/x
  3. Step 3: Cross multiply
    502.56x = 755.06 × 457.61
  4. Step 4: Simplify right side
    502.56x = 345,516.94
  5. Step 5: Solve for x
    x = 345,516.94/502.56
  6. Step 6: Final answer
    x = 687.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.