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Finding the Fourth Proportional to 556.59, 834.66 and 191.28

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Solution

The fourth proportional to 556.59, 834.66 and 191.28 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.59 : 834.66 = 191.28 : x
  2. Step 2: Convert to fraction form
    556.59/834.66 = 191.28/x
  3. Step 3: Cross multiply
    556.59x = 834.66 × 191.28
  4. Step 4: Simplify right side
    556.59x = 159,653.76
  5. Step 5: Solve for x
    x = 159,653.76/556.59
  6. Step 6: Final answer
    x = 286.84

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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.