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Finding the Fourth Proportional to 1,169.92, 1,754.85 and 553.91

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Solution

The fourth proportional to 1,169.92, 1,754.85 and 553.91 is: 830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.92 : 1,754.85 = 553.91 : x
  2. Step 2: Convert to fraction form
    1,169.92/1,754.85 = 553.91/x
  3. Step 3: Cross multiply
    1,169.92x = 1,754.85 × 553.91
  4. Step 4: Simplify right side
    1,169.92x = 972,028.96
  5. Step 5: Solve for x
    x = 972,028.96/1,169.92
  6. Step 6: Final answer
    x = 830.85

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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.