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Finding the Fourth Proportional to 1,229.19, 1,843.14 and 407.16

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Solution

The fourth proportional to 1,229.19, 1,843.14 and 407.16 is: 610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.19 : 1,843.14 = 407.16 : x
  2. Step 2: Convert to fraction form
    1,229.19/1,843.14 = 407.16/x
  3. Step 3: Cross multiply
    1,229.19x = 1,843.14 × 407.16
  4. Step 4: Simplify right side
    1,229.19x = 750,452.88
  5. Step 5: Solve for x
    x = 750,452.88/1,229.19
  6. Step 6: Final answer
    x = 610.53

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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.