Home / 820.15-1,131.80-447.13

Finding the Fourth Proportional to 820.15, 1,131.80 and 447.13

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Solution

The fourth proportional to 820.15, 1,131.80 and 447.13 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.15 : 1,131.80 = 447.13 : x
  2. Step 2: Convert to fraction form
    820.15/1,131.80 = 447.13/x
  3. Step 3: Cross multiply
    820.15x = 1,131.80 × 447.13
  4. Step 4: Simplify right side
    820.15x = 506,063.76
  5. Step 5: Solve for x
    x = 506,063.76/820.15
  6. Step 6: Final answer
    x = 617.04

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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.