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Finding the Fourth Proportional to 548.78, 822.76 and 402.37

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Solution

The fourth proportional to 548.78, 822.76 and 402.37 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 822.76 = 402.37 : x
  2. Step 2: Convert to fraction form
    548.78/822.76 = 402.37/x
  3. Step 3: Cross multiply
    548.78x = 822.76 × 402.37
  4. Step 4: Simplify right side
    548.78x = 331,050.88
  5. Step 5: Solve for x
    x = 331,050.88/548.78
  6. Step 6: Final answer
    x = 603.25

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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.