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Finding the Fourth Proportional to 754.12, 1,129.46 and 548.18

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Solution

The fourth proportional to 754.12, 1,129.46 and 548.18 is: 821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.12 : 1,129.46 = 548.18 : x
  2. Step 2: Convert to fraction form
    754.12/1,129.46 = 548.18/x
  3. Step 3: Cross multiply
    754.12x = 1,129.46 × 548.18
  4. Step 4: Simplify right side
    754.12x = 619,143.23
  5. Step 5: Solve for x
    x = 619,143.23/754.12
  6. Step 6: Final answer
    x = 821.01

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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.