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Finding the Fourth Proportional to 548.39, 823.80 and 468.20

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Solution

The fourth proportional to 548.39, 823.80 and 468.20 is: 703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 823.80 = 468.20 : x
  2. Step 2: Convert to fraction form
    548.39/823.80 = 468.20/x
  3. Step 3: Cross multiply
    548.39x = 823.80 × 468.20
  4. Step 4: Simplify right side
    548.39x = 385,703.16
  5. Step 5: Solve for x
    x = 385,703.16/548.39
  6. Step 6: Final answer
    x = 703.34

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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.