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Finding the Fourth Proportional to 757.74, 1,046.76 and 721.29

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Solution

The fourth proportional to 757.74, 1,046.76 and 721.29 is: 996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,046.76 = 721.29 : x
  2. Step 2: Convert to fraction form
    757.74/1,046.76 = 721.29/x
  3. Step 3: Cross multiply
    757.74x = 1,046.76 × 721.29
  4. Step 4: Simplify right side
    757.74x = 755,013.91
  5. Step 5: Solve for x
    x = 755,013.91/757.74
  6. Step 6: Final answer
    x = 996.40

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1.5x scale

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.