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Finding the Fourth Proportional to 2,305.65, 3,459.86 and 824.75

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Solution

The fourth proportional to 2,305.65, 3,459.86 and 824.75 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,459.86 = 824.75 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,459.86 = 824.75/x
  3. Step 3: Cross multiply
    2,305.65x = 3,459.86 × 824.75
  4. Step 4: Simplify right side
    2,305.65x = 2,853,524.06
  5. Step 5: Solve for x
    x = 2,853,524.06/2,305.65
  6. Step 6: Final answer
    x = 1,237.62

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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.