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Finding the Fourth Proportional to 727.79, 1,087.43 and 702.27

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Solution

The fourth proportional to 727.79, 1,087.43 and 702.27 is: 1,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.79 : 1,087.43 = 702.27 : x
  2. Step 2: Convert to fraction form
    727.79/1,087.43 = 702.27/x
  3. Step 3: Cross multiply
    727.79x = 1,087.43 × 702.27
  4. Step 4: Simplify right side
    727.79x = 763,665.95
  5. Step 5: Solve for x
    x = 763,665.95/727.79
  6. Step 6: Final answer
    x = 1,049.30

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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.