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Finding the Fourth Proportional to 548.54, 823.12 and 411.18

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Solution

The fourth proportional to 548.54, 823.12 and 411.18 is: 617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 823.12 = 411.18 : x
  2. Step 2: Convert to fraction form
    548.54/823.12 = 411.18/x
  3. Step 3: Cross multiply
    548.54x = 823.12 × 411.18
  4. Step 4: Simplify right side
    548.54x = 338,450.48
  5. Step 5: Solve for x
    x = 338,450.48/548.54
  6. Step 6: Final answer
    x = 617.00

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Double scale
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1.5x scale

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.