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Finding the Fourth Proportional to 483.48, 725.96 and 319.44

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Solution

The fourth proportional to 483.48, 725.96 and 319.44 is: 479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.48 : 725.96 = 319.44 : x
  2. Step 2: Convert to fraction form
    483.48/725.96 = 319.44/x
  3. Step 3: Cross multiply
    483.48x = 725.96 × 319.44
  4. Step 4: Simplify right side
    483.48x = 231,900.66
  5. Step 5: Solve for x
    x = 231,900.66/483.48
  6. Step 6: Final answer
    x = 479.65

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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.