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Finding the Fourth Proportional to 695.74, 1,042.85 and 348.24

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Solution

The fourth proportional to 695.74, 1,042.85 and 348.24 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.74 : 1,042.85 = 348.24 : x
  2. Step 2: Convert to fraction form
    695.74/1,042.85 = 348.24/x
  3. Step 3: Cross multiply
    695.74x = 1,042.85 × 348.24
  4. Step 4: Simplify right side
    695.74x = 363,158.56
  5. Step 5: Solve for x
    x = 363,158.56/695.74
  6. Step 6: Final answer
    x = 521.97

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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.