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Finding the Fourth Proportional to 668.10, 1,002.67 and 425.14

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Solution

The fourth proportional to 668.10, 1,002.67 and 425.14 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.10 : 1,002.67 = 425.14 : x
  2. Step 2: Convert to fraction form
    668.10/1,002.67 = 425.14/x
  3. Step 3: Cross multiply
    668.10x = 1,002.67 × 425.14
  4. Step 4: Simplify right side
    668.10x = 426,275.12
  5. Step 5: Solve for x
    x = 426,275.12/668.10
  6. Step 6: Final answer
    x = 638.04

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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.