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Finding the Fourth Proportional to 705.92, 1,059.08 and 243.81

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Solution

The fourth proportional to 705.92, 1,059.08 and 243.81 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 1,059.08 = 243.81 : x
  2. Step 2: Convert to fraction form
    705.92/1,059.08 = 243.81/x
  3. Step 3: Cross multiply
    705.92x = 1,059.08 × 243.81
  4. Step 4: Simplify right side
    705.92x = 258,213.08
  5. Step 5: Solve for x
    x = 258,213.08/705.92
  6. Step 6: Final answer
    x = 365.78

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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.