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Finding the Fourth Proportional to 701.13, 1,044.87 and 680.02

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Solution

The fourth proportional to 701.13, 1,044.87 and 680.02 is: 1,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.13 : 1,044.87 = 680.02 : x
  2. Step 2: Convert to fraction form
    701.13/1,044.87 = 680.02/x
  3. Step 3: Cross multiply
    701.13x = 1,044.87 × 680.02
  4. Step 4: Simplify right side
    701.13x = 710,531.16
  5. Step 5: Solve for x
    x = 710,531.16/701.13
  6. Step 6: Final answer
    x = 1,013.41

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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.