Home / 1,452.17-2,003.86-822.53

Finding the Fourth Proportional to 1,452.17, 2,003.86 and 822.53

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Solution

The fourth proportional to 1,452.17, 2,003.86 and 822.53 is: 1,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.17 : 2,003.86 = 822.53 : x
  2. Step 2: Convert to fraction form
    1,452.17/2,003.86 = 822.53/x
  3. Step 3: Cross multiply
    1,452.17x = 2,003.86 × 822.53
  4. Step 4: Simplify right side
    1,452.17x = 1,648,234.97
  5. Step 5: Solve for x
    x = 1,648,234.97/1,452.17
  6. Step 6: Final answer
    x = 1,135.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.