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Finding the Fourth Proportional to 516.98, 713.44 and 307.27

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Solution

The fourth proportional to 516.98, 713.44 and 307.27 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 713.44 = 307.27 : x
  2. Step 2: Convert to fraction form
    516.98/713.44 = 307.27/x
  3. Step 3: Cross multiply
    516.98x = 713.44 × 307.27
  4. Step 4: Simplify right side
    516.98x = 219,219.98
  5. Step 5: Solve for x
    x = 219,219.98/516.98
  6. Step 6: Final answer
    x = 424.04

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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.