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Finding the Fourth Proportional to 694.56, 1,042.08 and 261.60

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Solution

The fourth proportional to 694.56, 1,042.08 and 261.60 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.56 : 1,042.08 = 261.60 : x
  2. Step 2: Convert to fraction form
    694.56/1,042.08 = 261.60/x
  3. Step 3: Cross multiply
    694.56x = 1,042.08 × 261.60
  4. Step 4: Simplify right side
    694.56x = 272,608.13
  5. Step 5: Solve for x
    x = 272,608.13/694.56
  6. Step 6: Final answer
    x = 392.49

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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.