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Finding the Fourth Proportional to 488, 731.96 and 122.78

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Solution

The fourth proportional to 488, 731.96 and 122.78 is: 184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 731.96 = 122.78 : x
  2. Step 2: Convert to fraction form
    488/731.96 = 122.78/x
  3. Step 3: Cross multiply
    488x = 731.96 × 122.78
  4. Step 4: Simplify right side
    488x = 89,870.05
  5. Step 5: Solve for x
    x = 89,870.05/488
  6. Step 6: Final answer
    x = 184.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.