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Finding the Fourth Proportional to 754.08, 1,129.20 and 510.96

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Solution

The fourth proportional to 754.08, 1,129.20 and 510.96 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.08 : 1,129.20 = 510.96 : x
  2. Step 2: Convert to fraction form
    754.08/1,129.20 = 510.96/x
  3. Step 3: Cross multiply
    754.08x = 1,129.20 × 510.96
  4. Step 4: Simplify right side
    754.08x = 576,976.03
  5. Step 5: Solve for x
    x = 576,976.03/754.08
  6. Step 6: Final answer
    x = 765.14

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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.