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Finding the Fourth Proportional to 516.58, 711.43 and 428.44

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Solution

The fourth proportional to 516.58, 711.43 and 428.44 is: 590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 711.43 = 428.44 : x
  2. Step 2: Convert to fraction form
    516.58/711.43 = 428.44/x
  3. Step 3: Cross multiply
    516.58x = 711.43 × 428.44
  4. Step 4: Simplify right side
    516.58x = 304,805.96
  5. Step 5: Solve for x
    x = 304,805.96/516.58
  6. Step 6: Final answer
    x = 590.05

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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.