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Finding the Fourth Proportional to 556.83, 834.33 and 191.42

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Solution

The fourth proportional to 556.83, 834.33 and 191.42 is: 286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.83 : 834.33 = 191.42 : x
  2. Step 2: Convert to fraction form
    556.83/834.33 = 191.42/x
  3. Step 3: Cross multiply
    556.83x = 834.33 × 191.42
  4. Step 4: Simplify right side
    556.83x = 159,702.32
  5. Step 5: Solve for x
    x = 159,702.32/556.83
  6. Step 6: Final answer
    x = 286.81

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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.