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Finding the Fourth Proportional to 502.12, 750.29 and 415.72

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Solution

The fourth proportional to 502.12, 750.29 and 415.72 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 750.29 = 415.72 : x
  2. Step 2: Convert to fraction form
    502.12/750.29 = 415.72/x
  3. Step 3: Cross multiply
    502.12x = 750.29 × 415.72
  4. Step 4: Simplify right side
    502.12x = 311,910.56
  5. Step 5: Solve for x
    x = 311,910.56/502.12
  6. Step 6: Final answer
    x = 621.19

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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.