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Finding the Fourth Proportional to 963.87, 1,329.92 and 549.87

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Solution

The fourth proportional to 963.87, 1,329.92 and 549.87 is: 758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.87 : 1,329.92 = 549.87 : x
  2. Step 2: Convert to fraction form
    963.87/1,329.92 = 549.87/x
  3. Step 3: Cross multiply
    963.87x = 1,329.92 × 549.87
  4. Step 4: Simplify right side
    963.87x = 731,280.36
  5. Step 5: Solve for x
    x = 731,280.36/963.87
  6. Step 6: Final answer
    x = 758.69

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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.