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Finding the Fourth Proportional to 996.38, 1,494.93 and 312.38

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Solution

The fourth proportional to 996.38, 1,494.93 and 312.38 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.38 : 1,494.93 = 312.38 : x
  2. Step 2: Convert to fraction form
    996.38/1,494.93 = 312.38/x
  3. Step 3: Cross multiply
    996.38x = 1,494.93 × 312.38
  4. Step 4: Simplify right side
    996.38x = 466,978.76
  5. Step 5: Solve for x
    x = 466,978.76/996.38
  6. Step 6: Final answer
    x = 468.68

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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.