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Finding the Fourth Proportional to 483.22, 725.21 and 346.39

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Solution

The fourth proportional to 483.22, 725.21 and 346.39 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.22 : 725.21 = 346.39 : x
  2. Step 2: Convert to fraction form
    483.22/725.21 = 346.39/x
  3. Step 3: Cross multiply
    483.22x = 725.21 × 346.39
  4. Step 4: Simplify right side
    483.22x = 251,205.49
  5. Step 5: Solve for x
    x = 251,205.49/483.22
  6. Step 6: Final answer
    x = 519.86

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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.