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Finding the Fourth Proportional to 456.60, 688.09 and 413.31

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Solution

The fourth proportional to 456.60, 688.09 and 413.31 is: 622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 688.09 = 413.31 : x
  2. Step 2: Convert to fraction form
    456.60/688.09 = 413.31/x
  3. Step 3: Cross multiply
    456.60x = 688.09 × 413.31
  4. Step 4: Simplify right side
    456.60x = 284,394.48
  5. Step 5: Solve for x
    x = 284,394.48/456.60
  6. Step 6: Final answer
    x = 622.85

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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.