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Finding the Fourth Proportional to 516.84, 712.42 and 406.12

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Solution

The fourth proportional to 516.84, 712.42 and 406.12 is: 559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 712.42 = 406.12 : x
  2. Step 2: Convert to fraction form
    516.84/712.42 = 406.12/x
  3. Step 3: Cross multiply
    516.84x = 712.42 × 406.12
  4. Step 4: Simplify right side
    516.84x = 289,328.01
  5. Step 5: Solve for x
    x = 289,328.01/516.84
  6. Step 6: Final answer
    x = 559.80

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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.