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Finding the Fourth Proportional to 496.73, 746.24 and 312.20

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Solution

The fourth proportional to 496.73, 746.24 and 312.20 is: 469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 746.24 = 312.20 : x
  2. Step 2: Convert to fraction form
    496.73/746.24 = 312.20/x
  3. Step 3: Cross multiply
    496.73x = 746.24 × 312.20
  4. Step 4: Simplify right side
    496.73x = 232,976.43
  5. Step 5: Solve for x
    x = 232,976.43/496.73
  6. Step 6: Final answer
    x = 469.02

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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.