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Finding the Fourth Proportional to 695.88, 1,043.40 and 330.78

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Solution

The fourth proportional to 695.88, 1,043.40 and 330.78 is: 495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 1,043.40 = 330.78 : x
  2. Step 2: Convert to fraction form
    695.88/1,043.40 = 330.78/x
  3. Step 3: Cross multiply
    695.88x = 1,043.40 × 330.78
  4. Step 4: Simplify right side
    695.88x = 345,135.85
  5. Step 5: Solve for x
    x = 345,135.85/695.88
  6. Step 6: Final answer
    x = 495.97

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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.