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Finding the Fourth Proportional to 1,211.14, 1,816.76 and 333.71

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Solution

The fourth proportional to 1,211.14, 1,816.76 and 333.71 is: 500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.14 : 1,816.76 = 333.71 : x
  2. Step 2: Convert to fraction form
    1,211.14/1,816.76 = 333.71/x
  3. Step 3: Cross multiply
    1,211.14x = 1,816.76 × 333.71
  4. Step 4: Simplify right side
    1,211.14x = 606,278.82
  5. Step 5: Solve for x
    x = 606,278.82/1,211.14
  6. Step 6: Final answer
    x = 500.58

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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.