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Finding the Fourth Proportional to 836.17, 1,155.35 and 806.60

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Solution

The fourth proportional to 836.17, 1,155.35 and 806.60 is: 1,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.17 : 1,155.35 = 806.60 : x
  2. Step 2: Convert to fraction form
    836.17/1,155.35 = 806.60/x
  3. Step 3: Cross multiply
    836.17x = 1,155.35 × 806.60
  4. Step 4: Simplify right side
    836.17x = 931,910.21
  5. Step 5: Solve for x
    x = 931,910.21/836.17
  6. Step 6: Final answer
    x = 1,114.50

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Why These Related Problems?

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