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Finding the Fourth Proportional to 996.75, 1,494.10 and 475.85

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Solution

The fourth proportional to 996.75, 1,494.10 and 475.85 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.75 : 1,494.10 = 475.85 : x
  2. Step 2: Convert to fraction form
    996.75/1,494.10 = 475.85/x
  3. Step 3: Cross multiply
    996.75x = 1,494.10 × 475.85
  4. Step 4: Simplify right side
    996.75x = 710,967.49
  5. Step 5: Solve for x
    x = 710,967.49/996.75
  6. Step 6: Final answer
    x = 713.29

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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.