Home / 1,233.18-1,848.92-411.36

Finding the Fourth Proportional to 1,233.18, 1,848.92 and 411.36

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Solution

The fourth proportional to 1,233.18, 1,848.92 and 411.36 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.18 : 1,848.92 = 411.36 : x
  2. Step 2: Convert to fraction form
    1,233.18/1,848.92 = 411.36/x
  3. Step 3: Cross multiply
    1,233.18x = 1,848.92 × 411.36
  4. Step 4: Simplify right side
    1,233.18x = 760,569.67
  5. Step 5: Solve for x
    x = 760,569.67/1,233.18
  6. Step 6: Final answer
    x = 616.75

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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.