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Finding the Fourth Proportional to 833.72, 1,149.90 and 539.30

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Solution

The fourth proportional to 833.72, 1,149.90 and 539.30 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.72 : 1,149.90 = 539.30 : x
  2. Step 2: Convert to fraction form
    833.72/1,149.90 = 539.30/x
  3. Step 3: Cross multiply
    833.72x = 1,149.90 × 539.30
  4. Step 4: Simplify right side
    833.72x = 620,141.07
  5. Step 5: Solve for x
    x = 620,141.07/833.72
  6. Step 6: Final answer
    x = 743.82

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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.