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Finding the Fourth Proportional to 548.82, 822.11 and 457.22

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Solution

The fourth proportional to 548.82, 822.11 and 457.22 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.82 : 822.11 = 457.22 : x
  2. Step 2: Convert to fraction form
    548.82/822.11 = 457.22/x
  3. Step 3: Cross multiply
    548.82x = 822.11 × 457.22
  4. Step 4: Simplify right side
    548.82x = 375,878.74
  5. Step 5: Solve for x
    x = 375,878.74/548.82
  6. Step 6: Final answer
    x = 684.89

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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.