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Finding the Fourth Proportional to 516.58, 771.32 and 425.45

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Solution

The fourth proportional to 516.58, 771.32 and 425.45 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 771.32 = 425.45 : x
  2. Step 2: Convert to fraction form
    516.58/771.32 = 425.45/x
  3. Step 3: Cross multiply
    516.58x = 771.32 × 425.45
  4. Step 4: Simplify right side
    516.58x = 328,161.09
  5. Step 5: Solve for x
    x = 328,161.09/516.58
  6. Step 6: Final answer
    x = 635.26

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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.