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Finding the Fourth Proportional to 963.07, 1,329.05 and 543.44

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Solution

The fourth proportional to 963.07, 1,329.05 and 543.44 is: 749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.07 : 1,329.05 = 543.44 : x
  2. Step 2: Convert to fraction form
    963.07/1,329.05 = 543.44/x
  3. Step 3: Cross multiply
    963.07x = 1,329.05 × 543.44
  4. Step 4: Simplify right side
    963.07x = 722,260.56
  5. Step 5: Solve for x
    x = 722,260.56/963.07
  6. Step 6: Final answer
    x = 749.95

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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.