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Finding the Fourth Proportional to 939.53, 1,294.28 and 659.24

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Solution

The fourth proportional to 939.53, 1,294.28 and 659.24 is: 908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.53 : 1,294.28 = 659.24 : x
  2. Step 2: Convert to fraction form
    939.53/1,294.28 = 659.24/x
  3. Step 3: Cross multiply
    939.53x = 1,294.28 × 659.24
  4. Step 4: Simplify right side
    939.53x = 853,238.71
  5. Step 5: Solve for x
    x = 853,238.71/939.53
  6. Step 6: Final answer
    x = 908.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.