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Finding the Fourth Proportional to 699.92, 972.16 and 680.48

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Solution

The fourth proportional to 699.92, 972.16 and 680.48 is: 945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.92 : 972.16 = 680.48 : x
  2. Step 2: Convert to fraction form
    699.92/972.16 = 680.48/x
  3. Step 3: Cross multiply
    699.92x = 972.16 × 680.48
  4. Step 4: Simplify right side
    699.92x = 661,535.44
  5. Step 5: Solve for x
    x = 661,535.44/699.92
  6. Step 6: Final answer
    x = 945.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.