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Finding the Fourth Proportional to 1,224.29, 1,836.81 and 391.47

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Solution

The fourth proportional to 1,224.29, 1,836.81 and 391.47 is: 587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.29 : 1,836.81 = 391.47 : x
  2. Step 2: Convert to fraction form
    1,224.29/1,836.81 = 391.47/x
  3. Step 3: Cross multiply
    1,224.29x = 1,836.81 × 391.47
  4. Step 4: Simplify right side
    1,224.29x = 719,056.01
  5. Step 5: Solve for x
    x = 719,056.01/1,224.29
  6. Step 6: Final answer
    x = 587.33

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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.