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Finding the Fourth Proportional to 2,305.67, 3,458.44 and 574.29

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Solution

The fourth proportional to 2,305.67, 3,458.44 and 574.29 is: 861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.67 : 3,458.44 = 574.29 : x
  2. Step 2: Convert to fraction form
    2,305.67/3,458.44 = 574.29/x
  3. Step 3: Cross multiply
    2,305.67x = 3,458.44 × 574.29
  4. Step 4: Simplify right side
    2,305.67x = 1,986,147.51
  5. Step 5: Solve for x
    x = 1,986,147.51/2,305.67
  6. Step 6: Final answer
    x = 861.42

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1.5x scale

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.