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Finding the Fourth Proportional to 966.90, 1,450.24 and 418.64

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Solution

The fourth proportional to 966.90, 1,450.24 and 418.64 is: 627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.90 : 1,450.24 = 418.64 : x
  2. Step 2: Convert to fraction form
    966.90/1,450.24 = 418.64/x
  3. Step 3: Cross multiply
    966.90x = 1,450.24 × 418.64
  4. Step 4: Simplify right side
    966.90x = 607,120.18
  5. Step 5: Solve for x
    x = 607,120.18/966.90
  6. Step 6: Final answer
    x = 627.90

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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.