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Finding the Fourth Proportional to 713.52, 985.24 and 691.76

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Solution

The fourth proportional to 713.52, 985.24 and 691.76 is: 955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 985.24 = 691.76 : x
  2. Step 2: Convert to fraction form
    713.52/985.24 = 691.76/x
  3. Step 3: Cross multiply
    713.52x = 985.24 × 691.76
  4. Step 4: Simplify right side
    713.52x = 681,549.62
  5. Step 5: Solve for x
    x = 681,549.62/713.52
  6. Step 6: Final answer
    x = 955.19

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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.