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Finding the Fourth Proportional to 502.44, 752.55 and 414.79

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Solution

The fourth proportional to 502.44, 752.55 and 414.79 is: 621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 752.55 = 414.79 : x
  2. Step 2: Convert to fraction form
    502.44/752.55 = 414.79/x
  3. Step 3: Cross multiply
    502.44x = 752.55 × 414.79
  4. Step 4: Simplify right side
    502.44x = 312,150.21
  5. Step 5: Solve for x
    x = 312,150.21/502.44
  6. Step 6: Final answer
    x = 621.27

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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.