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Finding the Fourth Proportional to 516.98, 712.70 and 437.97

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Solution

The fourth proportional to 516.98, 712.70 and 437.97 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 712.70 = 437.97 : x
  2. Step 2: Convert to fraction form
    516.98/712.70 = 437.97/x
  3. Step 3: Cross multiply
    516.98x = 712.70 × 437.97
  4. Step 4: Simplify right side
    516.98x = 312,139.03
  5. Step 5: Solve for x
    x = 312,139.03/516.98
  6. Step 6: Final answer
    x = 603.78

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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.