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Finding the Fourth Proportional to 966.08, 1,332.24 and 634.40

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Solution

The fourth proportional to 966.08, 1,332.24 and 634.40 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.08 : 1,332.24 = 634.40 : x
  2. Step 2: Convert to fraction form
    966.08/1,332.24 = 634.40/x
  3. Step 3: Cross multiply
    966.08x = 1,332.24 × 634.40
  4. Step 4: Simplify right side
    966.08x = 845,173.06
  5. Step 5: Solve for x
    x = 845,173.06/966.08
  6. Step 6: Final answer
    x = 874.85

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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.