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Finding the Fourth Proportional to 697.45, 1,046.21 and 408.69

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Solution

The fourth proportional to 697.45, 1,046.21 and 408.69 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.45 : 1,046.21 = 408.69 : x
  2. Step 2: Convert to fraction form
    697.45/1,046.21 = 408.69/x
  3. Step 3: Cross multiply
    697.45x = 1,046.21 × 408.69
  4. Step 4: Simplify right side
    697.45x = 427,575.56
  5. Step 5: Solve for x
    x = 427,575.56/697.45
  6. Step 6: Final answer
    x = 613.06

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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.