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Finding the Fourth Proportional to 717.82, 1,076.88 and 425.21

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Solution

The fourth proportional to 717.82, 1,076.88 and 425.21 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,076.88 = 425.21 : x
  2. Step 2: Convert to fraction form
    717.82/1,076.88 = 425.21/x
  3. Step 3: Cross multiply
    717.82x = 1,076.88 × 425.21
  4. Step 4: Simplify right side
    717.82x = 457,900.14
  5. Step 5: Solve for x
    x = 457,900.14/717.82
  6. Step 6: Final answer
    x = 637.90

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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.