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Finding the Fourth Proportional to 1,122.14, 1,683.50 and 391.71

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Solution

The fourth proportional to 1,122.14, 1,683.50 and 391.71 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.14 : 1,683.50 = 391.71 : x
  2. Step 2: Convert to fraction form
    1,122.14/1,683.50 = 391.71/x
  3. Step 3: Cross multiply
    1,122.14x = 1,683.50 × 391.71
  4. Step 4: Simplify right side
    1,122.14x = 659,441.83
  5. Step 5: Solve for x
    x = 659,441.83/1,122.14
  6. Step 6: Final answer
    x = 587.67

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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.