Home / 1,229.90-1,844.30-407.75

Finding the Fourth Proportional to 1,229.90, 1,844.30 and 407.75

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Solution

The fourth proportional to 1,229.90, 1,844.30 and 407.75 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.90 : 1,844.30 = 407.75 : x
  2. Step 2: Convert to fraction form
    1,229.90/1,844.30 = 407.75/x
  3. Step 3: Cross multiply
    1,229.90x = 1,844.30 × 407.75
  4. Step 4: Simplify right side
    1,229.90x = 752,002.06
  5. Step 5: Solve for x
    x = 752,002.06/1,229.90
  6. Step 6: Final answer
    x = 611.44

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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.