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Finding the Fourth Proportional to 662.68, 994.06 and 175.72

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Solution

The fourth proportional to 662.68, 994.06 and 175.72 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 994.06 = 175.72 : x
  2. Step 2: Convert to fraction form
    662.68/994.06 = 175.72/x
  3. Step 3: Cross multiply
    662.68x = 994.06 × 175.72
  4. Step 4: Simplify right side
    662.68x = 174,676.22
  5. Step 5: Solve for x
    x = 174,676.22/662.68
  6. Step 6: Final answer
    x = 263.59

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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.