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Finding the Fourth Proportional to 833.70, 1,155.37 and 821.96

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Solution

The fourth proportional to 833.70, 1,155.37 and 821.96 is: 1,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,155.37 = 821.96 : x
  2. Step 2: Convert to fraction form
    833.70/1,155.37 = 821.96/x
  3. Step 3: Cross multiply
    833.70x = 1,155.37 × 821.96
  4. Step 4: Simplify right side
    833.70x = 949,662.15
  5. Step 5: Solve for x
    x = 949,662.15/833.70
  6. Step 6: Final answer
    x = 1,139.09

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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.