Home / 1,348.10-2,022.90-731.78

Finding the Fourth Proportional to 1,348.10, 2,022.90 and 731.78

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Solution

The fourth proportional to 1,348.10, 2,022.90 and 731.78 is: 1,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.10 : 2,022.90 = 731.78 : x
  2. Step 2: Convert to fraction form
    1,348.10/2,022.90 = 731.78/x
  3. Step 3: Cross multiply
    1,348.10x = 2,022.90 × 731.78
  4. Step 4: Simplify right side
    1,348.10x = 1,480,317.76
  5. Step 5: Solve for x
    x = 1,480,317.76/1,348.10
  6. Step 6: Final answer
    x = 1,098.08

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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.