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Finding the Fourth Proportional to 1,218.58, 1,828.12 and 396.78

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Solution

The fourth proportional to 1,218.58, 1,828.12 and 396.78 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.58 : 1,828.12 = 396.78 : x
  2. Step 2: Convert to fraction form
    1,218.58/1,828.12 = 396.78/x
  3. Step 3: Cross multiply
    1,218.58x = 1,828.12 × 396.78
  4. Step 4: Simplify right side
    1,218.58x = 725,361.45
  5. Step 5: Solve for x
    x = 725,361.45/1,218.58
  6. Step 6: Final answer
    x = 595.25

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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.