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Finding the Fourth Proportional to 939.52, 1,296.48 and 546.48

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Solution

The fourth proportional to 939.52, 1,296.48 and 546.48 is: 754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.52 : 1,296.48 = 546.48 : x
  2. Step 2: Convert to fraction form
    939.52/1,296.48 = 546.48/x
  3. Step 3: Cross multiply
    939.52x = 1,296.48 × 546.48
  4. Step 4: Simplify right side
    939.52x = 708,500.39
  5. Step 5: Solve for x
    x = 708,500.39/939.52
  6. Step 6: Final answer
    x = 754.11

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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.