Home / 1,224.74-1,836.33-493.47

Finding the Fourth Proportional to 1,224.74, 1,836.33 and 493.47

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Solution

The fourth proportional to 1,224.74, 1,836.33 and 493.47 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.74 : 1,836.33 = 493.47 : x
  2. Step 2: Convert to fraction form
    1,224.74/1,836.33 = 493.47/x
  3. Step 3: Cross multiply
    1,224.74x = 1,836.33 × 493.47
  4. Step 4: Simplify right side
    1,224.74x = 906,173.77
  5. Step 5: Solve for x
    x = 906,173.77/1,224.74
  6. Step 6: Final answer
    x = 739.89

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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.