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Finding the Fourth Proportional to 516.79, 713.28 and 304.24

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Solution

The fourth proportional to 516.79, 713.28 and 304.24 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.79 : 713.28 = 304.24 : x
  2. Step 2: Convert to fraction form
    516.79/713.28 = 304.24/x
  3. Step 3: Cross multiply
    516.79x = 713.28 × 304.24
  4. Step 4: Simplify right side
    516.79x = 217,008.31
  5. Step 5: Solve for x
    x = 217,008.31/516.79
  6. Step 6: Final answer
    x = 419.92

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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.