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Finding the Fourth Proportional to 643.32, 966.12 and 498.60

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Solution

The fourth proportional to 643.32, 966.12 and 498.60 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 966.12 = 498.60 : x
  2. Step 2: Convert to fraction form
    643.32/966.12 = 498.60/x
  3. Step 3: Cross multiply
    643.32x = 966.12 × 498.60
  4. Step 4: Simplify right side
    643.32x = 481,707.43
  5. Step 5: Solve for x
    x = 481,707.43/643.32
  6. Step 6: Final answer
    x = 748.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.