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Finding the Fourth Proportional to 833.14, 1,149.42 and 553.50

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Solution

The fourth proportional to 833.14, 1,149.42 and 553.50 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,149.42 = 553.50 : x
  2. Step 2: Convert to fraction form
    833.14/1,149.42 = 553.50/x
  3. Step 3: Cross multiply
    833.14x = 1,149.42 × 553.50
  4. Step 4: Simplify right side
    833.14x = 636,203.97
  5. Step 5: Solve for x
    x = 636,203.97/833.14
  6. Step 6: Final answer
    x = 763.62

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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.