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Finding the Fourth Proportional to 1,122.01, 1,683.03 and 391.61

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Solution

The fourth proportional to 1,122.01, 1,683.03 and 391.61 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.01 : 1,683.03 = 391.61 : x
  2. Step 2: Convert to fraction form
    1,122.01/1,683.03 = 391.61/x
  3. Step 3: Cross multiply
    1,122.01x = 1,683.03 × 391.61
  4. Step 4: Simplify right side
    1,122.01x = 659,087.17
  5. Step 5: Solve for x
    x = 659,087.17/1,122.01
  6. Step 6: Final answer
    x = 587.42

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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.