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Finding the Fourth Proportional to 516.93, 774.42 and 400.81

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Solution

The fourth proportional to 516.93, 774.42 and 400.81 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.93 : 774.42 = 400.81 : x
  2. Step 2: Convert to fraction form
    516.93/774.42 = 400.81/x
  3. Step 3: Cross multiply
    516.93x = 774.42 × 400.81
  4. Step 4: Simplify right side
    516.93x = 310,391.37
  5. Step 5: Solve for x
    x = 310,391.37/516.93
  6. Step 6: Final answer
    x = 600.45

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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.