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Finding the Fourth Proportional to 758.44, 1,139.10 and 649

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Solution

The fourth proportional to 758.44, 1,139.10 and 649 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.44 : 1,139.10 = 649 : x
  2. Step 2: Convert to fraction form
    758.44/1,139.10 = 649/x
  3. Step 3: Cross multiply
    758.44x = 1,139.10 × 649
  4. Step 4: Simplify right side
    758.44x = 739,275.90
  5. Step 5: Solve for x
    x = 739,275.90/758.44
  6. Step 6: Final answer
    x = 974.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.