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Finding the Fourth Proportional to 815.83, 1,125.43 and 583.09

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Solution

The fourth proportional to 815.83, 1,125.43 and 583.09 is: 804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.83 : 1,125.43 = 583.09 : x
  2. Step 2: Convert to fraction form
    815.83/1,125.43 = 583.09/x
  3. Step 3: Cross multiply
    815.83x = 1,125.43 × 583.09
  4. Step 4: Simplify right side
    815.83x = 656,226.98
  5. Step 5: Solve for x
    x = 656,226.98/815.83
  6. Step 6: Final answer
    x = 804.37

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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.