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Finding the Fourth Proportional to 1,169.33, 1,754.17 and 553.37

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Solution

The fourth proportional to 1,169.33, 1,754.17 and 553.37 is: 830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.33 : 1,754.17 = 553.37 : x
  2. Step 2: Convert to fraction form
    1,169.33/1,754.17 = 553.37/x
  3. Step 3: Cross multiply
    1,169.33x = 1,754.17 × 553.37
  4. Step 4: Simplify right side
    1,169.33x = 970,694.90
  5. Step 5: Solve for x
    x = 970,694.90/1,169.33
  6. Step 6: Final answer
    x = 830.13

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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.