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Finding the Fourth Proportional to 463.31, 698.08 and 413.58

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Solution

The fourth proportional to 463.31, 698.08 and 413.58 is: 623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.31 : 698.08 = 413.58 : x
  2. Step 2: Convert to fraction form
    463.31/698.08 = 413.58/x
  3. Step 3: Cross multiply
    463.31x = 698.08 × 413.58
  4. Step 4: Simplify right side
    463.31x = 288,711.93
  5. Step 5: Solve for x
    x = 288,711.93/463.31
  6. Step 6: Final answer
    x = 623.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.