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Finding the Fourth Proportional to 548.62, 823.11 and 260.26

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Solution

The fourth proportional to 548.62, 823.11 and 260.26 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.62 : 823.11 = 260.26 : x
  2. Step 2: Convert to fraction form
    548.62/823.11 = 260.26/x
  3. Step 3: Cross multiply
    548.62x = 823.11 × 260.26
  4. Step 4: Simplify right side
    548.62x = 214,222.61
  5. Step 5: Solve for x
    x = 214,222.61/548.62
  6. Step 6: Final answer
    x = 390.48

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Double scale
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Similar ratio
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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.