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Finding the Fourth Proportional to 516.89, 712.33 and 369.27

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Solution

The fourth proportional to 516.89, 712.33 and 369.27 is: 508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 712.33 = 369.27 : x
  2. Step 2: Convert to fraction form
    516.89/712.33 = 369.27/x
  3. Step 3: Cross multiply
    516.89x = 712.33 × 369.27
  4. Step 4: Simplify right side
    516.89x = 263,041.18
  5. Step 5: Solve for x
    x = 263,041.18/516.89
  6. Step 6: Final answer
    x = 508.89

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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.