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Finding the Fourth Proportional to 862.76, 1,292.31 and 742.47

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Solution

The fourth proportional to 862.76, 1,292.31 and 742.47 is: 1,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.76 : 1,292.31 = 742.47 : x
  2. Step 2: Convert to fraction form
    862.76/1,292.31 = 742.47/x
  3. Step 3: Cross multiply
    862.76x = 1,292.31 × 742.47
  4. Step 4: Simplify right side
    862.76x = 959,501.41
  5. Step 5: Solve for x
    x = 959,501.41/862.76
  6. Step 6: Final answer
    x = 1,112.14

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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.