Home / 1,224.14-1,836.57-493.34

Finding the Fourth Proportional to 1,224.14, 1,836.57 and 493.34

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Solution

The fourth proportional to 1,224.14, 1,836.57 and 493.34 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.14 : 1,836.57 = 493.34 : x
  2. Step 2: Convert to fraction form
    1,224.14/1,836.57 = 493.34/x
  3. Step 3: Cross multiply
    1,224.14x = 1,836.57 × 493.34
  4. Step 4: Simplify right side
    1,224.14x = 906,053.44
  5. Step 5: Solve for x
    x = 906,053.44/1,224.14
  6. Step 6: Final answer
    x = 740.16

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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.