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Finding the Fourth Proportional to 696.30, 1,043.03 and 329.98

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Solution

The fourth proportional to 696.30, 1,043.03 and 329.98 is: 494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.30 : 1,043.03 = 329.98 : x
  2. Step 2: Convert to fraction form
    696.30/1,043.03 = 329.98/x
  3. Step 3: Cross multiply
    696.30x = 1,043.03 × 329.98
  4. Step 4: Simplify right side
    696.30x = 344,173.82
  5. Step 5: Solve for x
    x = 344,173.82/696.30
  6. Step 6: Final answer
    x = 494.29

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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.