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Finding the Fourth Proportional to 662.23, 914.78 and 516.76

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Solution

The fourth proportional to 662.23, 914.78 and 516.76 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.23 : 914.78 = 516.76 : x
  2. Step 2: Convert to fraction form
    662.23/914.78 = 516.76/x
  3. Step 3: Cross multiply
    662.23x = 914.78 × 516.76
  4. Step 4: Simplify right side
    662.23x = 472,721.71
  5. Step 5: Solve for x
    x = 472,721.71/662.23
  6. Step 6: Final answer
    x = 713.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.