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Finding the Fourth Proportional to 548.92, 822.70 and 259.80

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Solution

The fourth proportional to 548.92, 822.70 and 259.80 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 822.70 = 259.80 : x
  2. Step 2: Convert to fraction form
    548.92/822.70 = 259.80/x
  3. Step 3: Cross multiply
    548.92x = 822.70 × 259.80
  4. Step 4: Simplify right side
    548.92x = 213,737.46
  5. Step 5: Solve for x
    x = 213,737.46/548.92
  6. Step 6: Final answer
    x = 389.38

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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.