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Finding the Fourth Proportional to 483.20, 725.16 and 328.76

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Solution

The fourth proportional to 483.20, 725.16 and 328.76 is: 493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.20 : 725.16 = 328.76 : x
  2. Step 2: Convert to fraction form
    483.20/725.16 = 328.76/x
  3. Step 3: Cross multiply
    483.20x = 725.16 × 328.76
  4. Step 4: Simplify right side
    483.20x = 238,403.60
  5. Step 5: Solve for x
    x = 238,403.60/483.20
  6. Step 6: Final answer
    x = 493.38

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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.