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Finding the Fourth Proportional to 754.53, 1,041.24 and 459.73

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Solution

The fourth proportional to 754.53, 1,041.24 and 459.73 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.53 : 1,041.24 = 459.73 : x
  2. Step 2: Convert to fraction form
    754.53/1,041.24 = 459.73/x
  3. Step 3: Cross multiply
    754.53x = 1,041.24 × 459.73
  4. Step 4: Simplify right side
    754.53x = 478,689.27
  5. Step 5: Solve for x
    x = 478,689.27/754.53
  6. Step 6: Final answer
    x = 634.42

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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.