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Finding the Fourth Proportional to 1,097.74, 1,647.98 and 851.70

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Solution

The fourth proportional to 1,097.74, 1,647.98 and 851.70 is: 1,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.74 : 1,647.98 = 851.70 : x
  2. Step 2: Convert to fraction form
    1,097.74/1,647.98 = 851.70/x
  3. Step 3: Cross multiply
    1,097.74x = 1,647.98 × 851.70
  4. Step 4: Simplify right side
    1,097.74x = 1,403,584.57
  5. Step 5: Solve for x
    x = 1,403,584.57/1,097.74
  6. Step 6: Final answer
    x = 1,278.61

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Why These Related Problems?

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