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Finding the Fourth Proportional to 698.37, 1,046.67 and 680.20

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Solution

The fourth proportional to 698.37, 1,046.67 and 680.20 is: 1,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 1,046.67 = 680.20 : x
  2. Step 2: Convert to fraction form
    698.37/1,046.67 = 680.20/x
  3. Step 3: Cross multiply
    698.37x = 1,046.67 × 680.20
  4. Step 4: Simplify right side
    698.37x = 711,944.93
  5. Step 5: Solve for x
    x = 711,944.93/698.37
  6. Step 6: Final answer
    x = 1,019.44

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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.