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Finding the Fourth Proportional to 717.98, 1,076.88 and 408.86

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Solution

The fourth proportional to 717.98, 1,076.88 and 408.86 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.98 : 1,076.88 = 408.86 : x
  2. Step 2: Convert to fraction form
    717.98/1,076.88 = 408.86/x
  3. Step 3: Cross multiply
    717.98x = 1,076.88 × 408.86
  4. Step 4: Simplify right side
    717.98x = 440,293.16
  5. Step 5: Solve for x
    x = 440,293.16/717.98
  6. Step 6: Final answer
    x = 613.24

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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.