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Finding the Fourth Proportional to 1,142.85, 1,713.96 and 321.15

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Solution

The fourth proportional to 1,142.85, 1,713.96 and 321.15 is: 481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.85 : 1,713.96 = 321.15 : x
  2. Step 2: Convert to fraction form
    1,142.85/1,713.96 = 321.15/x
  3. Step 3: Cross multiply
    1,142.85x = 1,713.96 × 321.15
  4. Step 4: Simplify right side
    1,142.85x = 550,438.25
  5. Step 5: Solve for x
    x = 550,438.25/1,142.85
  6. Step 6: Final answer
    x = 481.64

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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.