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Finding the Fourth Proportional to 750.23, 1,123.85 and 587.15

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Solution

The fourth proportional to 750.23, 1,123.85 and 587.15 is: 879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.23 : 1,123.85 = 587.15 : x
  2. Step 2: Convert to fraction form
    750.23/1,123.85 = 587.15/x
  3. Step 3: Cross multiply
    750.23x = 1,123.85 × 587.15
  4. Step 4: Simplify right side
    750.23x = 659,859.97
  5. Step 5: Solve for x
    x = 659,859.97/750.23
  6. Step 6: Final answer
    x = 879.55

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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.