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Finding the Fourth Proportional to 1,318.37, 1,976.82 and 830.38

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Solution

The fourth proportional to 1,318.37, 1,976.82 and 830.38 is: 1,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.37 : 1,976.82 = 830.38 : x
  2. Step 2: Convert to fraction form
    1,318.37/1,976.82 = 830.38/x
  3. Step 3: Cross multiply
    1,318.37x = 1,976.82 × 830.38
  4. Step 4: Simplify right side
    1,318.37x = 1,641,511.79
  5. Step 5: Solve for x
    x = 1,641,511.79/1,318.37
  6. Step 6: Final answer
    x = 1,245.11

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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.