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Finding the Fourth Proportional to 817.34, 1,227.87 and 492.92

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Solution

The fourth proportional to 817.34, 1,227.87 and 492.92 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,227.87 = 492.92 : x
  2. Step 2: Convert to fraction form
    817.34/1,227.87 = 492.92/x
  3. Step 3: Cross multiply
    817.34x = 1,227.87 × 492.92
  4. Step 4: Simplify right side
    817.34x = 605,241.68
  5. Step 5: Solve for x
    x = 605,241.68/817.34
  6. Step 6: Final answer
    x = 740.50

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Why These Related Problems?

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