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Finding the Fourth Proportional to 548.22, 756.81 and 402

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Solution

The fourth proportional to 548.22, 756.81 and 402 is: 554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.22 : 756.81 = 402 : x
  2. Step 2: Convert to fraction form
    548.22/756.81 = 402/x
  3. Step 3: Cross multiply
    548.22x = 756.81 × 402
  4. Step 4: Simplify right side
    548.22x = 304,237.62
  5. Step 5: Solve for x
    x = 304,237.62/548.22
  6. Step 6: Final answer
    x = 554.96

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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.