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Finding the Fourth Proportional to 680.54, 1,014.17 and 660.74

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Solution

The fourth proportional to 680.54, 1,014.17 and 660.74 is: 984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.54 : 1,014.17 = 660.74 : x
  2. Step 2: Convert to fraction form
    680.54/1,014.17 = 660.74/x
  3. Step 3: Cross multiply
    680.54x = 1,014.17 × 660.74
  4. Step 4: Simplify right side
    680.54x = 670,094.31
  5. Step 5: Solve for x
    x = 670,094.31/680.54
  6. Step 6: Final answer
    x = 984.66

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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.