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Finding the Fourth Proportional to 754.28, 1,131.44 and 510.20

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Solution

The fourth proportional to 754.28, 1,131.44 and 510.20 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.28 : 1,131.44 = 510.20 : x
  2. Step 2: Convert to fraction form
    754.28/1,131.44 = 510.20/x
  3. Step 3: Cross multiply
    754.28x = 1,131.44 × 510.20
  4. Step 4: Simplify right side
    754.28x = 577,260.69
  5. Step 5: Solve for x
    x = 577,260.69/754.28
  6. Step 6: Final answer
    x = 765.31

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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.