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Finding the Fourth Proportional to 548.58, 823.50 and 395.40

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Solution

The fourth proportional to 548.58, 823.50 and 395.40 is: 593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 823.50 = 395.40 : x
  2. Step 2: Convert to fraction form
    548.58/823.50 = 395.40/x
  3. Step 3: Cross multiply
    548.58x = 823.50 × 395.40
  4. Step 4: Simplify right side
    548.58x = 325,611.90
  5. Step 5: Solve for x
    x = 325,611.90/548.58
  6. Step 6: Final answer
    x = 593.55

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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.