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Finding the Fourth Proportional to 1,231.14, 1,846.71 and 365.39

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Solution

The fourth proportional to 1,231.14, 1,846.71 and 365.39 is: 548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.14 : 1,846.71 = 365.39 : x
  2. Step 2: Convert to fraction form
    1,231.14/1,846.71 = 365.39/x
  3. Step 3: Cross multiply
    1,231.14x = 1,846.71 × 365.39
  4. Step 4: Simplify right side
    1,231.14x = 674,760.13
  5. Step 5: Solve for x
    x = 674,760.13/1,231.14
  6. Step 6: Final answer
    x = 548.08

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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.