Home / 1,452.29-2,003.67-822.74

Finding the Fourth Proportional to 1,452.29, 2,003.67 and 822.74

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Solution

The fourth proportional to 1,452.29, 2,003.67 and 822.74 is: 1,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.29 : 2,003.67 = 822.74 : x
  2. Step 2: Convert to fraction form
    1,452.29/2,003.67 = 822.74/x
  3. Step 3: Cross multiply
    1,452.29x = 2,003.67 × 822.74
  4. Step 4: Simplify right side
    1,452.29x = 1,648,489.44
  5. Step 5: Solve for x
    x = 1,648,489.44/1,452.29
  6. Step 6: Final answer
    x = 1,135.10

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1.5x scale

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.