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Finding the Fourth Proportional to 516.78, 776.25 and 374.22

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Solution

The fourth proportional to 516.78, 776.25 and 374.22 is: 562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 776.25 = 374.22 : x
  2. Step 2: Convert to fraction form
    516.78/776.25 = 374.22/x
  3. Step 3: Cross multiply
    516.78x = 776.25 × 374.22
  4. Step 4: Simplify right side
    516.78x = 290,488.28
  5. Step 5: Solve for x
    x = 290,488.28/516.78
  6. Step 6: Final answer
    x = 562.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.