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Finding the Fourth Proportional to 698.78, 1,046.85 and 466.97

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Solution

The fourth proportional to 698.78, 1,046.85 and 466.97 is: 699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.78 : 1,046.85 = 466.97 : x
  2. Step 2: Convert to fraction form
    698.78/1,046.85 = 466.97/x
  3. Step 3: Cross multiply
    698.78x = 1,046.85 × 466.97
  4. Step 4: Simplify right side
    698.78x = 488,847.54
  5. Step 5: Solve for x
    x = 488,847.54/698.78
  6. Step 6: Final answer
    x = 699.57

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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.