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Finding the Fourth Proportional to 754.78, 1,131.54 and 407.92

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Solution

The fourth proportional to 754.78, 1,131.54 and 407.92 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.78 : 1,131.54 = 407.92 : x
  2. Step 2: Convert to fraction form
    754.78/1,131.54 = 407.92/x
  3. Step 3: Cross multiply
    754.78x = 1,131.54 × 407.92
  4. Step 4: Simplify right side
    754.78x = 461,577.80
  5. Step 5: Solve for x
    x = 461,577.80/754.78
  6. Step 6: Final answer
    x = 611.54

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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.