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Finding the Fourth Proportional to 1,129.10, 1,553.73 and 998.42

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Solution

The fourth proportional to 1,129.10, 1,553.73 and 998.42 is: 1,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.10 : 1,553.73 = 998.42 : x
  2. Step 2: Convert to fraction form
    1,129.10/1,553.73 = 998.42/x
  3. Step 3: Cross multiply
    1,129.10x = 1,553.73 × 998.42
  4. Step 4: Simplify right side
    1,129.10x = 1,551,275.11
  5. Step 5: Solve for x
    x = 1,551,275.11/1,129.10
  6. Step 6: Final answer
    x = 1,373.90

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.