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Finding the Fourth Proportional to 950.62, 1,311.49 and 702.54

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Solution

The fourth proportional to 950.62, 1,311.49 and 702.54 is: 969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.62 : 1,311.49 = 702.54 : x
  2. Step 2: Convert to fraction form
    950.62/1,311.49 = 702.54/x
  3. Step 3: Cross multiply
    950.62x = 1,311.49 × 702.54
  4. Step 4: Simplify right side
    950.62x = 921,374.18
  5. Step 5: Solve for x
    x = 921,374.18/950.62
  6. Step 6: Final answer
    x = 969.24

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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.