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Finding the Fourth Proportional to 2,305.97, 3,458.95 and 574.59

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Solution

The fourth proportional to 2,305.97, 3,458.95 and 574.59 is: 861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 3,458.95 = 574.59 : x
  2. Step 2: Convert to fraction form
    2,305.97/3,458.95 = 574.59/x
  3. Step 3: Cross multiply
    2,305.97x = 3,458.95 × 574.59
  4. Step 4: Simplify right side
    2,305.97x = 1,987,492.85
  5. Step 5: Solve for x
    x = 1,987,492.85/2,305.97
  6. Step 6: Final answer
    x = 861.89

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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.