Home / 1,218.42-1,827.68-385.49

Finding the Fourth Proportional to 1,218.42, 1,827.68 and 385.49

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Solution

The fourth proportional to 1,218.42, 1,827.68 and 385.49 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.42 : 1,827.68 = 385.49 : x
  2. Step 2: Convert to fraction form
    1,218.42/1,827.68 = 385.49/x
  3. Step 3: Cross multiply
    1,218.42x = 1,827.68 × 385.49
  4. Step 4: Simplify right side
    1,218.42x = 704,541.30
  5. Step 5: Solve for x
    x = 704,541.30/1,218.42
  6. Step 6: Final answer
    x = 578.24

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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.