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Finding the Fourth Proportional to 1,120.12, 1,680.99 and 634.12

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Solution

The fourth proportional to 1,120.12, 1,680.99 and 634.12 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.12 : 1,680.99 = 634.12 : x
  2. Step 2: Convert to fraction form
    1,120.12/1,680.99 = 634.12/x
  3. Step 3: Cross multiply
    1,120.12x = 1,680.99 × 634.12
  4. Step 4: Simplify right side
    1,120.12x = 1,065,949.38
  5. Step 5: Solve for x
    x = 1,065,949.38/1,120.12
  6. Step 6: Final answer
    x = 951.64

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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.