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Finding the Fourth Proportional to 1,908.69, 2,863.05 and 574.32

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Solution

The fourth proportional to 1,908.69, 2,863.05 and 574.32 is: 861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.69 : 2,863.05 = 574.32 : x
  2. Step 2: Convert to fraction form
    1,908.69/2,863.05 = 574.32/x
  3. Step 3: Cross multiply
    1,908.69x = 2,863.05 × 574.32
  4. Step 4: Simplify right side
    1,908.69x = 1,644,306.88
  5. Step 5: Solve for x
    x = 1,644,306.88/1,908.69
  6. Step 6: Final answer
    x = 861.48

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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.