Home / 1,218.56-1,827.30-385.42

Finding the Fourth Proportional to 1,218.56, 1,827.30 and 385.42

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Solution

The fourth proportional to 1,218.56, 1,827.30 and 385.42 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.56 : 1,827.30 = 385.42 : x
  2. Step 2: Convert to fraction form
    1,218.56/1,827.30 = 385.42/x
  3. Step 3: Cross multiply
    1,218.56x = 1,827.30 × 385.42
  4. Step 4: Simplify right side
    1,218.56x = 704,277.97
  5. Step 5: Solve for x
    x = 704,277.97/1,218.56
  6. Step 6: Final answer
    x = 577.96

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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.