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Finding the Fourth Proportional to 820.65, 1,131.24 and 583.89

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Solution

The fourth proportional to 820.65, 1,131.24 and 583.89 is: 804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.65 : 1,131.24 = 583.89 : x
  2. Step 2: Convert to fraction form
    820.65/1,131.24 = 583.89/x
  3. Step 3: Cross multiply
    820.65x = 1,131.24 × 583.89
  4. Step 4: Simplify right side
    820.65x = 660,519.72
  5. Step 5: Solve for x
    x = 660,519.72/820.65
  6. Step 6: Final answer
    x = 804.87

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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.