Home / 1,154.06-1,731.41-495.61

Finding the Fourth Proportional to 1,154.06, 1,731.41 and 495.61

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Solution

The fourth proportional to 1,154.06, 1,731.41 and 495.61 is: 743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 1,731.41 = 495.61 : x
  2. Step 2: Convert to fraction form
    1,154.06/1,731.41 = 495.61/x
  3. Step 3: Cross multiply
    1,154.06x = 1,731.41 × 495.61
  4. Step 4: Simplify right side
    1,154.06x = 858,098.82
  5. Step 5: Solve for x
    x = 858,098.82/1,154.06
  6. Step 6: Final answer
    x = 743.55

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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.