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Finding the Fourth Proportional to 864.24, 1,190.01 and 677.52

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Solution

The fourth proportional to 864.24, 1,190.01 and 677.52 is: 932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,190.01 = 677.52 : x
  2. Step 2: Convert to fraction form
    864.24/1,190.01 = 677.52/x
  3. Step 3: Cross multiply
    864.24x = 1,190.01 × 677.52
  4. Step 4: Simplify right side
    864.24x = 806,255.58
  5. Step 5: Solve for x
    x = 806,255.58/864.24
  6. Step 6: Final answer
    x = 932.91

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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.