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Finding the Fourth Proportional to 482, 722.75 and 157.32

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Solution

The fourth proportional to 482, 722.75 and 157.32 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482 : 722.75 = 157.32 : x
  2. Step 2: Convert to fraction form
    482/722.75 = 157.32/x
  3. Step 3: Cross multiply
    482x = 722.75 × 157.32
  4. Step 4: Simplify right side
    482x = 113,703.03
  5. Step 5: Solve for x
    x = 113,703.03/482
  6. Step 6: Final answer
    x = 235.90

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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.