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Finding the Fourth Proportional to 963.11, 1,329.09 and 543.46

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Solution

The fourth proportional to 963.11, 1,329.09 and 543.46 is: 749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.11 : 1,329.09 = 543.46 : x
  2. Step 2: Convert to fraction form
    963.11/1,329.09 = 543.46/x
  3. Step 3: Cross multiply
    963.11x = 1,329.09 × 543.46
  4. Step 4: Simplify right side
    963.11x = 722,311.93
  5. Step 5: Solve for x
    x = 722,311.93/963.11
  6. Step 6: Final answer
    x = 749.98

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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.