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Finding the Fourth Proportional to 1,122.91, 1,684.83 and 537.61

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Solution

The fourth proportional to 1,122.91, 1,684.83 and 537.61 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.91 : 1,684.83 = 537.61 : x
  2. Step 2: Convert to fraction form
    1,122.91/1,684.83 = 537.61/x
  3. Step 3: Cross multiply
    1,122.91x = 1,684.83 × 537.61
  4. Step 4: Simplify right side
    1,122.91x = 905,781.46
  5. Step 5: Solve for x
    x = 905,781.46/1,122.91
  6. Step 6: Final answer
    x = 806.64

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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.