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Finding the Fourth Proportional to 516.31, 712.61 and 303.78

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Solution

The fourth proportional to 516.31, 712.61 and 303.78 is: 419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 712.61 = 303.78 : x
  2. Step 2: Convert to fraction form
    516.31/712.61 = 303.78/x
  3. Step 3: Cross multiply
    516.31x = 712.61 × 303.78
  4. Step 4: Simplify right side
    516.31x = 216,471.58
  5. Step 5: Solve for x
    x = 216,471.58/516.31
  6. Step 6: Final answer
    x = 419.27

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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.