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Finding the Fourth Proportional to 667.76, 1,002.46 and 425.30

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Solution

The fourth proportional to 667.76, 1,002.46 and 425.30 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.76 : 1,002.46 = 425.30 : x
  2. Step 2: Convert to fraction form
    667.76/1,002.46 = 425.30/x
  3. Step 3: Cross multiply
    667.76x = 1,002.46 × 425.30
  4. Step 4: Simplify right side
    667.76x = 426,346.24
  5. Step 5: Solve for x
    x = 426,346.24/667.76
  6. Step 6: Final answer
    x = 638.47

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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.