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Finding the Fourth Proportional to 1,331.59, 1,838.96 and 999.49

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Solution

The fourth proportional to 1,331.59, 1,838.96 and 999.49 is: 1,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.59 : 1,838.96 = 999.49 : x
  2. Step 2: Convert to fraction form
    1,331.59/1,838.96 = 999.49/x
  3. Step 3: Cross multiply
    1,331.59x = 1,838.96 × 999.49
  4. Step 4: Simplify right side
    1,331.59x = 1,838,022.13
  5. Step 5: Solve for x
    x = 1,838,022.13/1,331.59
  6. Step 6: Final answer
    x = 1,380.32

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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.