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Finding the Fourth Proportional to 2,405.07, 3,606.72 and 844.65

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Solution

The fourth proportional to 2,405.07, 3,606.72 and 844.65 is: 1,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.07 : 3,606.72 = 844.65 : x
  2. Step 2: Convert to fraction form
    2,405.07/3,606.72 = 844.65/x
  3. Step 3: Cross multiply
    2,405.07x = 3,606.72 × 844.65
  4. Step 4: Simplify right side
    2,405.07x = 3,046,416.05
  5. Step 5: Solve for x
    x = 3,046,416.05/2,405.07
  6. Step 6: Final answer
    x = 1,266.66

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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.