Home / 1,142.28-1,713.34-320.60

Finding the Fourth Proportional to 1,142.28, 1,713.34 and 320.60

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Solution

The fourth proportional to 1,142.28, 1,713.34 and 320.60 is: 480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.28 : 1,713.34 = 320.60 : x
  2. Step 2: Convert to fraction form
    1,142.28/1,713.34 = 320.60/x
  3. Step 3: Cross multiply
    1,142.28x = 1,713.34 × 320.60
  4. Step 4: Simplify right side
    1,142.28x = 549,296.80
  5. Step 5: Solve for x
    x = 549,296.80/1,142.28
  6. Step 6: Final answer
    x = 480.88

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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.