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Finding the Fourth Proportional to 722.39, 1,082.84 and 548.57

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Solution

The fourth proportional to 722.39, 1,082.84 and 548.57 is: 822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.39 : 1,082.84 = 548.57 : x
  2. Step 2: Convert to fraction form
    722.39/1,082.84 = 548.57/x
  3. Step 3: Cross multiply
    722.39x = 1,082.84 × 548.57
  4. Step 4: Simplify right side
    722.39x = 594,013.50
  5. Step 5: Solve for x
    x = 594,013.50/722.39
  6. Step 6: Final answer
    x = 822.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.