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Finding the Fourth Proportional to 1,039.11, 1,559.07 and 308.69

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Solution

The fourth proportional to 1,039.11, 1,559.07 and 308.69 is: 463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.11 : 1,559.07 = 308.69 : x
  2. Step 2: Convert to fraction form
    1,039.11/1,559.07 = 308.69/x
  3. Step 3: Cross multiply
    1,039.11x = 1,559.07 × 308.69
  4. Step 4: Simplify right side
    1,039.11x = 481,273.22
  5. Step 5: Solve for x
    x = 481,273.22/1,039.11
  6. Step 6: Final answer
    x = 463.16

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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.