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Finding the Fourth Proportional to 1,112.41, 1,668.84 and 332.43

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Solution

The fourth proportional to 1,112.41, 1,668.84 and 332.43 is: 498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.41 : 1,668.84 = 332.43 : x
  2. Step 2: Convert to fraction form
    1,112.41/1,668.84 = 332.43/x
  3. Step 3: Cross multiply
    1,112.41x = 1,668.84 × 332.43
  4. Step 4: Simplify right side
    1,112.41x = 554,772.48
  5. Step 5: Solve for x
    x = 554,772.48/1,112.41
  6. Step 6: Final answer
    x = 498.71

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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.