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Finding the Fourth Proportional to 864.53, 1,294.88 and 668.11

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Solution

The fourth proportional to 864.53, 1,294.88 and 668.11 is: 1,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.53 : 1,294.88 = 668.11 : x
  2. Step 2: Convert to fraction form
    864.53/1,294.88 = 668.11/x
  3. Step 3: Cross multiply
    864.53x = 1,294.88 × 668.11
  4. Step 4: Simplify right side
    864.53x = 865,115.80
  5. Step 5: Solve for x
    x = 865,115.80/864.53
  6. Step 6: Final answer
    x = 1,000.68

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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.