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Finding the Fourth Proportional to 1,112.40, 1,668.72 and 650.88

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Solution

The fourth proportional to 1,112.40, 1,668.72 and 650.88 is: 976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.40 : 1,668.72 = 650.88 : x
  2. Step 2: Convert to fraction form
    1,112.40/1,668.72 = 650.88/x
  3. Step 3: Cross multiply
    1,112.40x = 1,668.72 × 650.88
  4. Step 4: Simplify right side
    1,112.40x = 1,086,136.47
  5. Step 5: Solve for x
    x = 1,086,136.47/1,112.40
  6. Step 6: Final answer
    x = 976.39

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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.