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Finding the Fourth Proportional to 1,122.45, 1,683.67 and 391.72

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Solution

The fourth proportional to 1,122.45, 1,683.67 and 391.72 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.45 : 1,683.67 = 391.72 : x
  2. Step 2: Convert to fraction form
    1,122.45/1,683.67 = 391.72/x
  3. Step 3: Cross multiply
    1,122.45x = 1,683.67 × 391.72
  4. Step 4: Simplify right side
    1,122.45x = 659,527.21
  5. Step 5: Solve for x
    x = 659,527.21/1,122.45
  6. Step 6: Final answer
    x = 587.58

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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.