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Finding the Fourth Proportional to 753.96, 1,124.31 and 702.03

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Solution

The fourth proportional to 753.96, 1,124.31 and 702.03 is: 1,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.96 : 1,124.31 = 702.03 : x
  2. Step 2: Convert to fraction form
    753.96/1,124.31 = 702.03/x
  3. Step 3: Cross multiply
    753.96x = 1,124.31 × 702.03
  4. Step 4: Simplify right side
    753.96x = 789,299.35
  5. Step 5: Solve for x
    x = 789,299.35/753.96
  6. Step 6: Final answer
    x = 1,046.87

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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.