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Finding the Fourth Proportional to 752.79, 1,134.81 and 702.61

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Solution

The fourth proportional to 752.79, 1,134.81 and 702.61 is: 1,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.79 : 1,134.81 = 702.61 : x
  2. Step 2: Convert to fraction form
    752.79/1,134.81 = 702.61/x
  3. Step 3: Cross multiply
    752.79x = 1,134.81 × 702.61
  4. Step 4: Simplify right side
    752.79x = 797,326.02
  5. Step 5: Solve for x
    x = 797,326.02/752.79
  6. Step 6: Final answer
    x = 1,059.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.