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Finding the Fourth Proportional to 2,306.78, 3,460.17 and 575.41

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Solution

The fourth proportional to 2,306.78, 3,460.17 and 575.41 is: 863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.78 : 3,460.17 = 575.41 : x
  2. Step 2: Convert to fraction form
    2,306.78/3,460.17 = 575.41/x
  3. Step 3: Cross multiply
    2,306.78x = 3,460.17 × 575.41
  4. Step 4: Simplify right side
    2,306.78x = 1,991,016.42
  5. Step 5: Solve for x
    x = 1,991,016.42/2,306.78
  6. Step 6: Final answer
    x = 863.12

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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.