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Finding the Fourth Proportional to 699.39, 1,042.27 and 678.27

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Solution

The fourth proportional to 699.39, 1,042.27 and 678.27 is: 1,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.39 : 1,042.27 = 678.27 : x
  2. Step 2: Convert to fraction form
    699.39/1,042.27 = 678.27/x
  3. Step 3: Cross multiply
    699.39x = 1,042.27 × 678.27
  4. Step 4: Simplify right side
    699.39x = 706,942.69
  5. Step 5: Solve for x
    x = 706,942.69/699.39
  6. Step 6: Final answer
    x = 1,010.80

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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.