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Finding the Fourth Proportional to 1,195.96, 1,643.45 and 999.13

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Solution

The fourth proportional to 1,195.96, 1,643.45 and 999.13 is: 1,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.96 : 1,643.45 = 999.13 : x
  2. Step 2: Convert to fraction form
    1,195.96/1,643.45 = 999.13/x
  3. Step 3: Cross multiply
    1,195.96x = 1,643.45 × 999.13
  4. Step 4: Simplify right side
    1,195.96x = 1,642,020.20
  5. Step 5: Solve for x
    x = 1,642,020.20/1,195.96
  6. Step 6: Final answer
    x = 1,372.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.