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Finding the Fourth Proportional to 605.27, 837.56 and 516.62

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Solution

The fourth proportional to 605.27, 837.56 and 516.62 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.27 : 837.56 = 516.62 : x
  2. Step 2: Convert to fraction form
    605.27/837.56 = 516.62/x
  3. Step 3: Cross multiply
    605.27x = 837.56 × 516.62
  4. Step 4: Simplify right side
    605.27x = 432,703.63
  5. Step 5: Solve for x
    x = 432,703.63/605.27
  6. Step 6: Final answer
    x = 714.89

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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.