Home / 1,553.41-2,326.92-821.44

Finding the Fourth Proportional to 1,553.41, 2,326.92 and 821.44

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Solution

The fourth proportional to 1,553.41, 2,326.92 and 821.44 is: 1,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.41 : 2,326.92 = 821.44 : x
  2. Step 2: Convert to fraction form
    1,553.41/2,326.92 = 821.44/x
  3. Step 3: Cross multiply
    1,553.41x = 2,326.92 × 821.44
  4. Step 4: Simplify right side
    1,553.41x = 1,911,425.16
  5. Step 5: Solve for x
    x = 1,911,425.16/1,553.41
  6. Step 6: Final answer
    x = 1,230.47

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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.