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Finding the Fourth Proportional to 706.04, 1,057.89 and 243.56

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Solution

The fourth proportional to 706.04, 1,057.89 and 243.56 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.04 : 1,057.89 = 243.56 : x
  2. Step 2: Convert to fraction form
    706.04/1,057.89 = 243.56/x
  3. Step 3: Cross multiply
    706.04x = 1,057.89 × 243.56
  4. Step 4: Simplify right side
    706.04x = 257,662.33
  5. Step 5: Solve for x
    x = 257,662.33/706.04
  6. Step 6: Final answer
    x = 364.94

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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.