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Finding the Fourth Proportional to 996.21, 1,494.56 and 585.69

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Solution

The fourth proportional to 996.21, 1,494.56 and 585.69 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.21 : 1,494.56 = 585.69 : x
  2. Step 2: Convert to fraction form
    996.21/1,494.56 = 585.69/x
  3. Step 3: Cross multiply
    996.21x = 1,494.56 × 585.69
  4. Step 4: Simplify right side
    996.21x = 875,348.85
  5. Step 5: Solve for x
    x = 875,348.85/996.21
  6. Step 6: Final answer
    x = 878.68

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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.