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Finding the Fourth Proportional to 516.46, 771.14 and 425.32

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Solution

The fourth proportional to 516.46, 771.14 and 425.32 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.46 : 771.14 = 425.32 : x
  2. Step 2: Convert to fraction form
    516.46/771.14 = 425.32/x
  3. Step 3: Cross multiply
    516.46x = 771.14 × 425.32
  4. Step 4: Simplify right side
    516.46x = 327,981.26
  5. Step 5: Solve for x
    x = 327,981.26/516.46
  6. Step 6: Final answer
    x = 635.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.