Home / 1,218.49-1,827.56-396.78

Finding the Fourth Proportional to 1,218.49, 1,827.56 and 396.78

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Solution

The fourth proportional to 1,218.49, 1,827.56 and 396.78 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.49 : 1,827.56 = 396.78 : x
  2. Step 2: Convert to fraction form
    1,218.49/1,827.56 = 396.78/x
  3. Step 3: Cross multiply
    1,218.49x = 1,827.56 × 396.78
  4. Step 4: Simplify right side
    1,218.49x = 725,131.11
  5. Step 5: Solve for x
    x = 725,131.11/1,218.49
  6. Step 6: Final answer
    x = 595.11

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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.