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Finding the Fourth Proportional to 695.70, 1,043.34 and 330.39

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Solution

The fourth proportional to 695.70, 1,043.34 and 330.39 is: 495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 1,043.34 = 330.39 : x
  2. Step 2: Convert to fraction form
    695.70/1,043.34 = 330.39/x
  3. Step 3: Cross multiply
    695.70x = 1,043.34 × 330.39
  4. Step 4: Simplify right side
    695.70x = 344,709.10
  5. Step 5: Solve for x
    x = 344,709.10/695.70
  6. Step 6: Final answer
    x = 495.49

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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.