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Finding the Fourth Proportional to 521.24, 782.31 and 247.40

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Solution

The fourth proportional to 521.24, 782.31 and 247.40 is: 371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 782.31 = 247.40 : x
  2. Step 2: Convert to fraction form
    521.24/782.31 = 247.40/x
  3. Step 3: Cross multiply
    521.24x = 782.31 × 247.40
  4. Step 4: Simplify right side
    521.24x = 193,546.45
  5. Step 5: Solve for x
    x = 193,546.45/521.24
  6. Step 6: Final answer
    x = 371.32

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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.