Home / 1,452.21-2,004.06-822.76

Finding the Fourth Proportional to 1,452.21, 2,004.06 and 822.76

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Solution

The fourth proportional to 1,452.21, 2,004.06 and 822.76 is: 1,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.21 : 2,004.06 = 822.76 : x
  2. Step 2: Convert to fraction form
    1,452.21/2,004.06 = 822.76/x
  3. Step 3: Cross multiply
    1,452.21x = 2,004.06 × 822.76
  4. Step 4: Simplify right side
    1,452.21x = 1,648,860.41
  5. Step 5: Solve for x
    x = 1,648,860.41/1,452.21
  6. Step 6: Final answer
    x = 1,135.42

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Half scale
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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.