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Finding the Fourth Proportional to 754.32, 1,038.78 and 521.04

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Solution

The fourth proportional to 754.32, 1,038.78 and 521.04 is: 717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.32 : 1,038.78 = 521.04 : x
  2. Step 2: Convert to fraction form
    754.32/1,038.78 = 521.04/x
  3. Step 3: Cross multiply
    754.32x = 1,038.78 × 521.04
  4. Step 4: Simplify right side
    754.32x = 541,245.93
  5. Step 5: Solve for x
    x = 541,245.93/754.32
  6. Step 6: Final answer
    x = 717.53

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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.