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Finding the Fourth Proportional to 701.05, 1,043.29 and 677.69

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Solution

The fourth proportional to 701.05, 1,043.29 and 677.69 is: 1,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.05 : 1,043.29 = 677.69 : x
  2. Step 2: Convert to fraction form
    701.05/1,043.29 = 677.69/x
  3. Step 3: Cross multiply
    701.05x = 1,043.29 × 677.69
  4. Step 4: Simplify right side
    701.05x = 707,021.98
  5. Step 5: Solve for x
    x = 707,021.98/701.05
  6. Step 6: Final answer
    x = 1,008.53

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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.