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Finding the Fourth Proportional to 697.08, 1,044.84 and 331.38

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Solution

The fourth proportional to 697.08, 1,044.84 and 331.38 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,044.84 = 331.38 : x
  2. Step 2: Convert to fraction form
    697.08/1,044.84 = 331.38/x
  3. Step 3: Cross multiply
    697.08x = 1,044.84 × 331.38
  4. Step 4: Simplify right side
    697.08x = 346,239.08
  5. Step 5: Solve for x
    x = 346,239.08/697.08
  6. Step 6: Final answer
    x = 496.70

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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.