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Finding the Fourth Proportional to 548.98, 824.11 and 376.38

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Solution

The fourth proportional to 548.98, 824.11 and 376.38 is: 565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 824.11 = 376.38 : x
  2. Step 2: Convert to fraction form
    548.98/824.11 = 376.38/x
  3. Step 3: Cross multiply
    548.98x = 824.11 × 376.38
  4. Step 4: Simplify right side
    548.98x = 310,177.58
  5. Step 5: Solve for x
    x = 310,177.58/548.98
  6. Step 6: Final answer
    x = 565.01

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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.