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Finding the Fourth Proportional to 833.49, 1,149.21 and 538.65

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Solution

The fourth proportional to 833.49, 1,149.21 and 538.65 is: 742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.49 : 1,149.21 = 538.65 : x
  2. Step 2: Convert to fraction form
    833.49/1,149.21 = 538.65/x
  3. Step 3: Cross multiply
    833.49x = 1,149.21 × 538.65
  4. Step 4: Simplify right side
    833.49x = 619,021.97
  5. Step 5: Solve for x
    x = 619,021.97/833.49
  6. Step 6: Final answer
    x = 742.69

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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.