Home / 1,233.56-1,849.95-411.62

Finding the Fourth Proportional to 1,233.56, 1,849.95 and 411.62

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Solution

The fourth proportional to 1,233.56, 1,849.95 and 411.62 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.56 : 1,849.95 = 411.62 : x
  2. Step 2: Convert to fraction form
    1,233.56/1,849.95 = 411.62/x
  3. Step 3: Cross multiply
    1,233.56x = 1,849.95 × 411.62
  4. Step 4: Simplify right side
    1,233.56x = 761,467.17
  5. Step 5: Solve for x
    x = 761,467.17/1,233.56
  6. Step 6: Final answer
    x = 617.29

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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.