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Finding the Fourth Proportional to 548.04, 822.33 and 274.13

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Solution

The fourth proportional to 548.04, 822.33 and 274.13 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 822.33 = 274.13 : x
  2. Step 2: Convert to fraction form
    548.04/822.33 = 274.13/x
  3. Step 3: Cross multiply
    548.04x = 822.33 × 274.13
  4. Step 4: Simplify right side
    548.04x = 225,421.21
  5. Step 5: Solve for x
    x = 225,421.21/548.04
  6. Step 6: Final answer
    x = 411.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.