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Finding the Fourth Proportional to 878.27, 1,211.45 and 583.56

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Solution

The fourth proportional to 878.27, 1,211.45 and 583.56 is: 804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.27 : 1,211.45 = 583.56 : x
  2. Step 2: Convert to fraction form
    878.27/1,211.45 = 583.56/x
  3. Step 3: Cross multiply
    878.27x = 1,211.45 × 583.56
  4. Step 4: Simplify right side
    878.27x = 706,950.84
  5. Step 5: Solve for x
    x = 706,950.84/878.27
  6. Step 6: Final answer
    x = 804.94

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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.