Home / 1,218.39-1,827.98-385.43

Finding the Fourth Proportional to 1,218.39, 1,827.98 and 385.43

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Solution

The fourth proportional to 1,218.39, 1,827.98 and 385.43 is: 578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.39 : 1,827.98 = 385.43 : x
  2. Step 2: Convert to fraction form
    1,218.39/1,827.98 = 385.43/x
  3. Step 3: Cross multiply
    1,218.39x = 1,827.98 × 385.43
  4. Step 4: Simplify right side
    1,218.39x = 704,547.26
  5. Step 5: Solve for x
    x = 704,547.26/1,218.39
  6. Step 6: Final answer
    x = 578.26

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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.