Home / 1,389.20-2,082.74-731.03

Finding the Fourth Proportional to 1,389.20, 2,082.74 and 731.03

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Solution

The fourth proportional to 1,389.20, 2,082.74 and 731.03 is: 1,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.20 : 2,082.74 = 731.03 : x
  2. Step 2: Convert to fraction form
    1,389.20/2,082.74 = 731.03/x
  3. Step 3: Cross multiply
    1,389.20x = 2,082.74 × 731.03
  4. Step 4: Simplify right side
    1,389.20x = 1,522,531.35
  5. Step 5: Solve for x
    x = 1,522,531.35/1,389.20
  6. Step 6: Final answer
    x = 1,095.98

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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.