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Finding the Fourth Proportional to 680.24, 1,015.28 and 663.84

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Solution

The fourth proportional to 680.24, 1,015.28 and 663.84 is: 990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 1,015.28 = 663.84 : x
  2. Step 2: Convert to fraction form
    680.24/1,015.28 = 663.84/x
  3. Step 3: Cross multiply
    680.24x = 1,015.28 × 663.84
  4. Step 4: Simplify right side
    680.24x = 673,983.48
  5. Step 5: Solve for x
    x = 673,983.48/680.24
  6. Step 6: Final answer
    x = 990.80

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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.