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Finding the Fourth Proportional to 757.54, 1,046.28 and 496.72

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Solution

The fourth proportional to 757.54, 1,046.28 and 496.72 is: 686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.54 : 1,046.28 = 496.72 : x
  2. Step 2: Convert to fraction form
    757.54/1,046.28 = 496.72/x
  3. Step 3: Cross multiply
    757.54x = 1,046.28 × 496.72
  4. Step 4: Simplify right side
    757.54x = 519,708.20
  5. Step 5: Solve for x
    x = 519,708.20/757.54
  6. Step 6: Final answer
    x = 686.05

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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.