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Finding the Fourth Proportional to 1,121.12, 1,682.49 and 635.12

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Solution

The fourth proportional to 1,121.12, 1,682.49 and 635.12 is: 953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.12 : 1,682.49 = 635.12 : x
  2. Step 2: Convert to fraction form
    1,121.12/1,682.49 = 635.12/x
  3. Step 3: Cross multiply
    1,121.12x = 1,682.49 × 635.12
  4. Step 4: Simplify right side
    1,121.12x = 1,068,583.05
  5. Step 5: Solve for x
    x = 1,068,583.05/1,121.12
  6. Step 6: Final answer
    x = 953.14

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Double scale
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1.5x scale

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.