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Finding the Fourth Proportional to 820.18, 1,131.85 and 447.16

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Solution

The fourth proportional to 820.18, 1,131.85 and 447.16 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.18 : 1,131.85 = 447.16 : x
  2. Step 2: Convert to fraction form
    820.18/1,131.85 = 447.16/x
  3. Step 3: Cross multiply
    820.18x = 1,131.85 × 447.16
  4. Step 4: Simplify right side
    820.18x = 506,121.23
  5. Step 5: Solve for x
    x = 506,121.23/820.18
  6. Step 6: Final answer
    x = 617.09

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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.