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Finding the Fourth Proportional to 920.12, 1,382.58 and 861.80

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Solution

The fourth proportional to 920.12, 1,382.58 and 861.80 is: 1,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.12 : 1,382.58 = 861.80 : x
  2. Step 2: Convert to fraction form
    920.12/1,382.58 = 861.80/x
  3. Step 3: Cross multiply
    920.12x = 1,382.58 × 861.80
  4. Step 4: Simplify right side
    920.12x = 1,191,507.44
  5. Step 5: Solve for x
    x = 1,191,507.44/920.12
  6. Step 6: Final answer
    x = 1,294.95

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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.