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Finding the Fourth Proportional to 864.73, 1,296.89 and 425.78

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Solution

The fourth proportional to 864.73, 1,296.89 and 425.78 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.73 : 1,296.89 = 425.78 : x
  2. Step 2: Convert to fraction form
    864.73/1,296.89 = 425.78/x
  3. Step 3: Cross multiply
    864.73x = 1,296.89 × 425.78
  4. Step 4: Simplify right side
    864.73x = 552,181.21
  5. Step 5: Solve for x
    x = 552,181.21/864.73
  6. Step 6: Final answer
    x = 638.56

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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.