Home / 1,204.10-1,806.14-424.08

Finding the Fourth Proportional to 1,204.10, 1,806.14 and 424.08

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Solution

The fourth proportional to 1,204.10, 1,806.14 and 424.08 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.10 : 1,806.14 = 424.08 : x
  2. Step 2: Convert to fraction form
    1,204.10/1,806.14 = 424.08/x
  3. Step 3: Cross multiply
    1,204.10x = 1,806.14 × 424.08
  4. Step 4: Simplify right side
    1,204.10x = 765,945.73
  5. Step 5: Solve for x
    x = 765,945.73/1,204.10
  6. Step 6: Final answer
    x = 636.12

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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.