Home / 1,112.18-1,668.55-462.78

Finding the Fourth Proportional to 1,112.18, 1,668.55 and 462.78

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Solution

The fourth proportional to 1,112.18, 1,668.55 and 462.78 is: 694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.18 : 1,668.55 = 462.78 : x
  2. Step 2: Convert to fraction form
    1,112.18/1,668.55 = 462.78/x
  3. Step 3: Cross multiply
    1,112.18x = 1,668.55 × 462.78
  4. Step 4: Simplify right side
    1,112.18x = 772,171.57
  5. Step 5: Solve for x
    x = 772,171.57/1,112.18
  6. Step 6: Final answer
    x = 694.29

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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.