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Finding the Fourth Proportional to 817.76, 1,132.94 and 797.72

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Solution

The fourth proportional to 817.76, 1,132.94 and 797.72 is: 1,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.76 : 1,132.94 = 797.72 : x
  2. Step 2: Convert to fraction form
    817.76/1,132.94 = 797.72/x
  3. Step 3: Cross multiply
    817.76x = 1,132.94 × 797.72
  4. Step 4: Simplify right side
    817.76x = 903,768.90
  5. Step 5: Solve for x
    x = 903,768.90/817.76
  6. Step 6: Final answer
    x = 1,105.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.