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Finding the Fourth Proportional to 1,112.29, 1,668.42 and 342.79

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Solution

The fourth proportional to 1,112.29, 1,668.42 and 342.79 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.29 : 1,668.42 = 342.79 : x
  2. Step 2: Convert to fraction form
    1,112.29/1,668.42 = 342.79/x
  3. Step 3: Cross multiply
    1,112.29x = 1,668.42 × 342.79
  4. Step 4: Simplify right side
    1,112.29x = 571,909.35
  5. Step 5: Solve for x
    x = 571,909.35/1,112.29
  6. Step 6: Final answer
    x = 514.18

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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.