Home / 925.17-1,387.97-823.22

Finding the Fourth Proportional to 925.17, 1,387.97 and 823.22

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Solution

The fourth proportional to 925.17, 1,387.97 and 823.22 is: 1,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.17 : 1,387.97 = 823.22 : x
  2. Step 2: Convert to fraction form
    925.17/1,387.97 = 823.22/x
  3. Step 3: Cross multiply
    925.17x = 1,387.97 × 823.22
  4. Step 4: Simplify right side
    925.17x = 1,142,604.66
  5. Step 5: Solve for x
    x = 1,142,604.66/925.17
  6. Step 6: Final answer
    x = 1,235.02

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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.