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Finding the Fourth Proportional to 1,120.52, 1,678.66 and 633.92

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Solution

The fourth proportional to 1,120.52, 1,678.66 and 633.92 is: 949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.52 : 1,678.66 = 633.92 : x
  2. Step 2: Convert to fraction form
    1,120.52/1,678.66 = 633.92/x
  3. Step 3: Cross multiply
    1,120.52x = 1,678.66 × 633.92
  4. Step 4: Simplify right side
    1,120.52x = 1,064,136.15
  5. Step 5: Solve for x
    x = 1,064,136.15/1,120.52
  6. Step 6: Final answer
    x = 949.68

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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.