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Finding the Fourth Proportional to 898.97, 1,240.92 and 702.54

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Solution

The fourth proportional to 898.97, 1,240.92 and 702.54 is: 969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.97 : 1,240.92 = 702.54 : x
  2. Step 2: Convert to fraction form
    898.97/1,240.92 = 702.54/x
  3. Step 3: Cross multiply
    898.97x = 1,240.92 × 702.54
  4. Step 4: Simplify right side
    898.97x = 871,795.94
  5. Step 5: Solve for x
    x = 871,795.94/898.97
  6. Step 6: Final answer
    x = 969.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.