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Finding the Fourth Proportional to 505.47, 752.49 and 502.74

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Solution

The fourth proportional to 505.47, 752.49 and 502.74 is: 748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.47 : 752.49 = 502.74 : x
  2. Step 2: Convert to fraction form
    505.47/752.49 = 502.74/x
  3. Step 3: Cross multiply
    505.47x = 752.49 × 502.74
  4. Step 4: Simplify right side
    505.47x = 378,306.82
  5. Step 5: Solve for x
    x = 378,306.82/505.47
  6. Step 6: Final answer
    x = 748.42

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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.