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Finding the Fourth Proportional to 698.26, 1,046.61 and 307.85

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Solution

The fourth proportional to 698.26, 1,046.61 and 307.85 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.26 : 1,046.61 = 307.85 : x
  2. Step 2: Convert to fraction form
    698.26/1,046.61 = 307.85/x
  3. Step 3: Cross multiply
    698.26x = 1,046.61 × 307.85
  4. Step 4: Simplify right side
    698.26x = 322,193.66
  5. Step 5: Solve for x
    x = 322,193.66/698.26
  6. Step 6: Final answer
    x = 461.43

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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.