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Finding the Fourth Proportional to 757.13, 1,044.29 and 533.52

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Solution

The fourth proportional to 757.13, 1,044.29 and 533.52 is: 735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.13 : 1,044.29 = 533.52 : x
  2. Step 2: Convert to fraction form
    757.13/1,044.29 = 533.52/x
  3. Step 3: Cross multiply
    757.13x = 1,044.29 × 533.52
  4. Step 4: Simplify right side
    757.13x = 557,150.93
  5. Step 5: Solve for x
    x = 557,150.93/757.13
  6. Step 6: Final answer
    x = 735.88

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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.