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Finding the Fourth Proportional to 739.28, 1,107.96 and 543.76

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Solution

The fourth proportional to 739.28, 1,107.96 and 543.76 is: 814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.28 : 1,107.96 = 543.76 : x
  2. Step 2: Convert to fraction form
    739.28/1,107.96 = 543.76/x
  3. Step 3: Cross multiply
    739.28x = 1,107.96 × 543.76
  4. Step 4: Simplify right side
    739.28x = 602,464.33
  5. Step 5: Solve for x
    x = 602,464.33/739.28
  6. Step 6: Final answer
    x = 814.93

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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.