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Finding the Fourth Proportional to 614.14, 917.66 and 516.94

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Solution

The fourth proportional to 614.14, 917.66 and 516.94 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 917.66 = 516.94 : x
  2. Step 2: Convert to fraction form
    614.14/917.66 = 516.94/x
  3. Step 3: Cross multiply
    614.14x = 917.66 × 516.94
  4. Step 4: Simplify right side
    614.14x = 474,371.25
  5. Step 5: Solve for x
    x = 474,371.25/614.14
  6. Step 6: Final answer
    x = 772.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.