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Finding the Fourth Proportional to 494.92, 743.02 and 312.68

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Solution

The fourth proportional to 494.92, 743.02 and 312.68 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 743.02 = 312.68 : x
  2. Step 2: Convert to fraction form
    494.92/743.02 = 312.68/x
  3. Step 3: Cross multiply
    494.92x = 743.02 × 312.68
  4. Step 4: Simplify right side
    494.92x = 232,327.49
  5. Step 5: Solve for x
    x = 232,327.49/494.92
  6. Step 6: Final answer
    x = 469.42

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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.