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Finding the Fourth Proportional to 1,097.97, 1,647.63 and 439.74

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Solution

The fourth proportional to 1,097.97, 1,647.63 and 439.74 is: 659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.97 : 1,647.63 = 439.74 : x
  2. Step 2: Convert to fraction form
    1,097.97/1,647.63 = 439.74/x
  3. Step 3: Cross multiply
    1,097.97x = 1,647.63 × 439.74
  4. Step 4: Simplify right side
    1,097.97x = 724,528.82
  5. Step 5: Solve for x
    x = 724,528.82/1,097.97
  6. Step 6: Final answer
    x = 659.88

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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.