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Finding the Fourth Proportional to 862.56, 1,291.05 and 615.60

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Solution

The fourth proportional to 862.56, 1,291.05 and 615.60 is: 921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,291.05 = 615.60 : x
  2. Step 2: Convert to fraction form
    862.56/1,291.05 = 615.60/x
  3. Step 3: Cross multiply
    862.56x = 1,291.05 × 615.60
  4. Step 4: Simplify right side
    862.56x = 794,770.38
  5. Step 5: Solve for x
    x = 794,770.38/862.56
  6. Step 6: Final answer
    x = 921.41

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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.