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Finding the Fourth Proportional to 713.42, 1,062.82 and 687.30

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Solution

The fourth proportional to 713.42, 1,062.82 and 687.30 is: 1,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 1,062.82 = 687.30 : x
  2. Step 2: Convert to fraction form
    713.42/1,062.82 = 687.30/x
  3. Step 3: Cross multiply
    713.42x = 1,062.82 × 687.30
  4. Step 4: Simplify right side
    713.42x = 730,476.19
  5. Step 5: Solve for x
    x = 730,476.19/713.42
  6. Step 6: Final answer
    x = 1,023.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.