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Finding the Fourth Proportional to 861.69, 1,292.84 and 627.65

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Solution

The fourth proportional to 861.69, 1,292.84 and 627.65 is: 941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.69 : 1,292.84 = 627.65 : x
  2. Step 2: Convert to fraction form
    861.69/1,292.84 = 627.65/x
  3. Step 3: Cross multiply
    861.69x = 1,292.84 × 627.65
  4. Step 4: Simplify right side
    861.69x = 811,441.42
  5. Step 5: Solve for x
    x = 811,441.42/861.69
  6. Step 6: Final answer
    x = 941.69

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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.