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Finding the Fourth Proportional to 888.22, 1,227.69 and 782.50

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Solution

The fourth proportional to 888.22, 1,227.69 and 782.50 is: 1,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.22 : 1,227.69 = 782.50 : x
  2. Step 2: Convert to fraction form
    888.22/1,227.69 = 782.50/x
  3. Step 3: Cross multiply
    888.22x = 1,227.69 × 782.50
  4. Step 4: Simplify right side
    888.22x = 960,667.43
  5. Step 5: Solve for x
    x = 960,667.43/888.22
  6. Step 6: Final answer
    x = 1,081.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.