Home / 820.24-1,131.90-447.20

Finding the Fourth Proportional to 820.24, 1,131.90 and 447.20

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Solution

The fourth proportional to 820.24, 1,131.90 and 447.20 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.24 : 1,131.90 = 447.20 : x
  2. Step 2: Convert to fraction form
    820.24/1,131.90 = 447.20/x
  3. Step 3: Cross multiply
    820.24x = 1,131.90 × 447.20
  4. Step 4: Simplify right side
    820.24x = 506,185.68
  5. Step 5: Solve for x
    x = 506,185.68/820.24
  6. Step 6: Final answer
    x = 617.12

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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.