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Finding the Fourth Proportional to 963.14, 1,438.17 and 765.93

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Solution

The fourth proportional to 963.14, 1,438.17 and 765.93 is: 1,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,438.17 = 765.93 : x
  2. Step 2: Convert to fraction form
    963.14/1,438.17 = 765.93/x
  3. Step 3: Cross multiply
    963.14x = 1,438.17 × 765.93
  4. Step 4: Simplify right side
    963.14x = 1,101,537.55
  5. Step 5: Solve for x
    x = 1,101,537.55/963.14
  6. Step 6: Final answer
    x = 1,143.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.