Home / 1,233.23-1,849.93-411.50

Finding the Fourth Proportional to 1,233.23, 1,849.93 and 411.50

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Solution

The fourth proportional to 1,233.23, 1,849.93 and 411.50 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.23 : 1,849.93 = 411.50 : x
  2. Step 2: Convert to fraction form
    1,233.23/1,849.93 = 411.50/x
  3. Step 3: Cross multiply
    1,233.23x = 1,849.93 × 411.50
  4. Step 4: Simplify right side
    1,233.23x = 761,245.31
  5. Step 5: Solve for x
    x = 761,245.31/1,233.23
  6. Step 6: Final answer
    x = 617.28

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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.