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Finding the Fourth Proportional to 502.08, 691.20 and 413.70

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Solution

The fourth proportional to 502.08, 691.20 and 413.70 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.08 : 691.20 = 413.70 : x
  2. Step 2: Convert to fraction form
    502.08/691.20 = 413.70/x
  3. Step 3: Cross multiply
    502.08x = 691.20 × 413.70
  4. Step 4: Simplify right side
    502.08x = 285,949.44
  5. Step 5: Solve for x
    x = 285,949.44/502.08
  6. Step 6: Final answer
    x = 569.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.