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Finding the Fourth Proportional to 862.95, 1,291.31 and 742.66

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Solution

The fourth proportional to 862.95, 1,291.31 and 742.66 is: 1,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,291.31 = 742.66 : x
  2. Step 2: Convert to fraction form
    862.95/1,291.31 = 742.66/x
  3. Step 3: Cross multiply
    862.95x = 1,291.31 × 742.66
  4. Step 4: Simplify right side
    862.95x = 959,000.57
  5. Step 5: Solve for x
    x = 959,000.57/862.95
  6. Step 6: Final answer
    x = 1,111.31

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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.