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Finding the Fourth Proportional to 481.92, 722.28 and 345.24

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Solution

The fourth proportional to 481.92, 722.28 and 345.24 is: 517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 722.28 = 345.24 : x
  2. Step 2: Convert to fraction form
    481.92/722.28 = 345.24/x
  3. Step 3: Cross multiply
    481.92x = 722.28 × 345.24
  4. Step 4: Simplify right side
    481.92x = 249,359.95
  5. Step 5: Solve for x
    x = 249,359.95/481.92
  6. Step 6: Final answer
    x = 517.43

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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.