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Finding the Fourth Proportional to 697.97, 1,046.42 and 423.99

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Solution

The fourth proportional to 697.97, 1,046.42 and 423.99 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.97 : 1,046.42 = 423.99 : x
  2. Step 2: Convert to fraction form
    697.97/1,046.42 = 423.99/x
  3. Step 3: Cross multiply
    697.97x = 1,046.42 × 423.99
  4. Step 4: Simplify right side
    697.97x = 443,671.62
  5. Step 5: Solve for x
    x = 443,671.62/697.97
  6. Step 6: Final answer
    x = 635.66

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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.