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Finding the Fourth Proportional to 548.78, 822.80 and 491.18

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Solution

The fourth proportional to 548.78, 822.80 and 491.18 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 822.80 = 491.18 : x
  2. Step 2: Convert to fraction form
    548.78/822.80 = 491.18/x
  3. Step 3: Cross multiply
    548.78x = 822.80 × 491.18
  4. Step 4: Simplify right side
    548.78x = 404,140.02
  5. Step 5: Solve for x
    x = 404,140.02/548.78
  6. Step 6: Final answer
    x = 736.44

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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.