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Finding the Fourth Proportional to 516.16, 777.73 and 426.86

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Solution

The fourth proportional to 516.16, 777.73 and 426.86 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 777.73 = 426.86 : x
  2. Step 2: Convert to fraction form
    516.16/777.73 = 426.86/x
  3. Step 3: Cross multiply
    516.16x = 777.73 × 426.86
  4. Step 4: Simplify right side
    516.16x = 331,976.87
  5. Step 5: Solve for x
    x = 331,976.87/516.16
  6. Step 6: Final answer
    x = 643.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.