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Finding the Fourth Proportional to 2,305.98, 3,458.97 and 574.61

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Solution

The fourth proportional to 2,305.98, 3,458.97 and 574.61 is: 861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.98 : 3,458.97 = 574.61 : x
  2. Step 2: Convert to fraction form
    2,305.98/3,458.97 = 574.61/x
  3. Step 3: Cross multiply
    2,305.98x = 3,458.97 × 574.61
  4. Step 4: Simplify right side
    2,305.98x = 1,987,541.46
  5. Step 5: Solve for x
    x = 1,987,541.46/2,305.98
  6. Step 6: Final answer
    x = 861.91

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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.