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Finding the Fourth Proportional to 711.91, 1,060.74 and 680.46

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Solution

The fourth proportional to 711.91, 1,060.74 and 680.46 is: 1,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.91 : 1,060.74 = 680.46 : x
  2. Step 2: Convert to fraction form
    711.91/1,060.74 = 680.46/x
  3. Step 3: Cross multiply
    711.91x = 1,060.74 × 680.46
  4. Step 4: Simplify right side
    711.91x = 721,791.14
  5. Step 5: Solve for x
    x = 721,791.14/711.91
  6. Step 6: Final answer
    x = 1,013.88

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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.