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Finding the Fourth Proportional to 521.72, 782.72 and 156.48

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Solution

The fourth proportional to 521.72, 782.72 and 156.48 is: 234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.72 : 782.72 = 156.48 : x
  2. Step 2: Convert to fraction form
    521.72/782.72 = 156.48/x
  3. Step 3: Cross multiply
    521.72x = 782.72 × 156.48
  4. Step 4: Simplify right side
    521.72x = 122,480.03
  5. Step 5: Solve for x
    x = 122,480.03/521.72
  6. Step 6: Final answer
    x = 234.76

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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.