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Finding the Fourth Proportional to 699.30, 1,042.79 and 660.42

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Solution

The fourth proportional to 699.30, 1,042.79 and 660.42 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.30 : 1,042.79 = 660.42 : x
  2. Step 2: Convert to fraction form
    699.30/1,042.79 = 660.42/x
  3. Step 3: Cross multiply
    699.30x = 1,042.79 × 660.42
  4. Step 4: Simplify right side
    699.30x = 688,676.07
  5. Step 5: Solve for x
    x = 688,676.07/699.30
  6. Step 6: Final answer
    x = 984.81

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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.