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Finding the Fourth Proportional to 757.71, 1,046.19 and 463.37

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Solution

The fourth proportional to 757.71, 1,046.19 and 463.37 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.71 : 1,046.19 = 463.37 : x
  2. Step 2: Convert to fraction form
    757.71/1,046.19 = 463.37/x
  3. Step 3: Cross multiply
    757.71x = 1,046.19 × 463.37
  4. Step 4: Simplify right side
    757.71x = 484,767.83
  5. Step 5: Solve for x
    x = 484,767.83/757.71
  6. Step 6: Final answer
    x = 639.78

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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.