Home / 1,233.24-1,849.70-355.82

Finding the Fourth Proportional to 1,233.24, 1,849.70 and 355.82

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Solution

The fourth proportional to 1,233.24, 1,849.70 and 355.82 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.24 : 1,849.70 = 355.82 : x
  2. Step 2: Convert to fraction form
    1,233.24/1,849.70 = 355.82/x
  3. Step 3: Cross multiply
    1,233.24x = 1,849.70 × 355.82
  4. Step 4: Simplify right side
    1,233.24x = 658,160.25
  5. Step 5: Solve for x
    x = 658,160.25/1,233.24
  6. Step 6: Final answer
    x = 533.68

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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.