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Finding the Fourth Proportional to 581.14, 871.72 and 191.17

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Solution

The fourth proportional to 581.14, 871.72 and 191.17 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 871.72 = 191.17 : x
  2. Step 2: Convert to fraction form
    581.14/871.72 = 191.17/x
  3. Step 3: Cross multiply
    581.14x = 871.72 × 191.17
  4. Step 4: Simplify right side
    581.14x = 166,647.32
  5. Step 5: Solve for x
    x = 166,647.32/581.14
  6. Step 6: Final answer
    x = 286.76

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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.