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Finding the Fourth Proportional to 963.70, 1,329.21 and 614.50

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Solution

The fourth proportional to 963.70, 1,329.21 and 614.50 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.70 : 1,329.21 = 614.50 : x
  2. Step 2: Convert to fraction form
    963.70/1,329.21 = 614.50/x
  3. Step 3: Cross multiply
    963.70x = 1,329.21 × 614.50
  4. Step 4: Simplify right side
    963.70x = 816,799.55
  5. Step 5: Solve for x
    x = 816,799.55/963.70
  6. Step 6: Final answer
    x = 847.57

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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.