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Finding the Fourth Proportional to 862.32, 1,189.44 and 613.92

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Solution

The fourth proportional to 862.32, 1,189.44 and 613.92 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.32 : 1,189.44 = 613.92 : x
  2. Step 2: Convert to fraction form
    862.32/1,189.44 = 613.92/x
  3. Step 3: Cross multiply
    862.32x = 1,189.44 × 613.92
  4. Step 4: Simplify right side
    862.32x = 730,221.00
  5. Step 5: Solve for x
    x = 730,221.00/862.32
  6. Step 6: Final answer
    x = 846.81

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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.