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Finding the Fourth Proportional to 680.79, 1,015.46 and 660.29

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Solution

The fourth proportional to 680.79, 1,015.46 and 660.29 is: 984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.79 : 1,015.46 = 660.29 : x
  2. Step 2: Convert to fraction form
    680.79/1,015.46 = 660.29/x
  3. Step 3: Cross multiply
    680.79x = 1,015.46 × 660.29
  4. Step 4: Simplify right side
    680.79x = 670,498.08
  5. Step 5: Solve for x
    x = 670,498.08/680.79
  6. Step 6: Final answer
    x = 984.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.