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Finding the Fourth Proportional to 754.23, 1,131.17 and 388.83

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Solution

The fourth proportional to 754.23, 1,131.17 and 388.83 is: 583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.23 : 1,131.17 = 388.83 : x
  2. Step 2: Convert to fraction form
    754.23/1,131.17 = 388.83/x
  3. Step 3: Cross multiply
    754.23x = 1,131.17 × 388.83
  4. Step 4: Simplify right side
    754.23x = 439,830.89
  5. Step 5: Solve for x
    x = 439,830.89/754.23
  6. Step 6: Final answer
    x = 583.15

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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.