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Finding the Fourth Proportional to 966.61, 1,438.28 and 963.37

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Solution

The fourth proportional to 966.61, 1,438.28 and 963.37 is: 1,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.61 : 1,438.28 = 963.37 : x
  2. Step 2: Convert to fraction form
    966.61/1,438.28 = 963.37/x
  3. Step 3: Cross multiply
    966.61x = 1,438.28 × 963.37
  4. Step 4: Simplify right side
    966.61x = 1,385,588.61
  5. Step 5: Solve for x
    x = 1,385,588.61/966.61
  6. Step 6: Final answer
    x = 1,433.46

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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.