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Finding the Fourth Proportional to 862.75, 1,193.73 and 752.46

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Solution

The fourth proportional to 862.75, 1,193.73 and 752.46 is: 1,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,193.73 = 752.46 : x
  2. Step 2: Convert to fraction form
    862.75/1,193.73 = 752.46/x
  3. Step 3: Cross multiply
    862.75x = 1,193.73 × 752.46
  4. Step 4: Simplify right side
    862.75x = 898,234.08
  5. Step 5: Solve for x
    x = 898,234.08/862.75
  6. Step 6: Final answer
    x = 1,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.