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Finding the Fourth Proportional to 1,793.45, 2,689.47 and 697.66

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Solution

The fourth proportional to 1,793.45, 2,689.47 and 697.66 is: 1,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.45 : 2,689.47 = 697.66 : x
  2. Step 2: Convert to fraction form
    1,793.45/2,689.47 = 697.66/x
  3. Step 3: Cross multiply
    1,793.45x = 2,689.47 × 697.66
  4. Step 4: Simplify right side
    1,793.45x = 1,876,328.92
  5. Step 5: Solve for x
    x = 1,876,328.92/1,793.45
  6. Step 6: Final answer
    x = 1,046.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.