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Finding the Fourth Proportional to 966.74, 1,449.50 and 418.50

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Solution

The fourth proportional to 966.74, 1,449.50 and 418.50 is: 627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.74 : 1,449.50 = 418.50 : x
  2. Step 2: Convert to fraction form
    966.74/1,449.50 = 418.50/x
  3. Step 3: Cross multiply
    966.74x = 1,449.50 × 418.50
  4. Step 4: Simplify right side
    966.74x = 606,613.66
  5. Step 5: Solve for x
    x = 606,613.66/966.74
  6. Step 6: Final answer
    x = 627.49

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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.