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Finding the Fourth Proportional to 667.58, 996.44 and 585.56

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Solution

The fourth proportional to 667.58, 996.44 and 585.56 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.58 : 996.44 = 585.56 : x
  2. Step 2: Convert to fraction form
    667.58/996.44 = 585.56/x
  3. Step 3: Cross multiply
    667.58x = 996.44 × 585.56
  4. Step 4: Simplify right side
    667.58x = 583,474.97
  5. Step 5: Solve for x
    x = 583,474.97/667.58
  6. Step 6: Final answer
    x = 874.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.