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Finding the Fourth Proportional to 645.90, 966.95 and 426.12

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Solution

The fourth proportional to 645.90, 966.95 and 426.12 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 966.95 = 426.12 : x
  2. Step 2: Convert to fraction form
    645.90/966.95 = 426.12/x
  3. Step 3: Cross multiply
    645.90x = 966.95 × 426.12
  4. Step 4: Simplify right side
    645.90x = 412,034.60
  5. Step 5: Solve for x
    x = 412,034.60/645.90
  6. Step 6: Final answer
    x = 637.92

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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.