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Finding the Fourth Proportional to 1,112.34, 1,668.32 and 462.90

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Solution

The fourth proportional to 1,112.34, 1,668.32 and 462.90 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 1,668.32 = 462.90 : x
  2. Step 2: Convert to fraction form
    1,112.34/1,668.32 = 462.90/x
  3. Step 3: Cross multiply
    1,112.34x = 1,668.32 × 462.90
  4. Step 4: Simplify right side
    1,112.34x = 772,265.33
  5. Step 5: Solve for x
    x = 772,265.33/1,112.34
  6. Step 6: Final answer
    x = 694.27

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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.