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Finding the Fourth Proportional to 589.90, 884.10 and 516.61

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Solution

The fourth proportional to 589.90, 884.10 and 516.61 is: 774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 884.10 = 516.61 : x
  2. Step 2: Convert to fraction form
    589.90/884.10 = 516.61/x
  3. Step 3: Cross multiply
    589.90x = 884.10 × 516.61
  4. Step 4: Simplify right side
    589.90x = 456,734.90
  5. Step 5: Solve for x
    x = 456,734.90/589.90
  6. Step 6: Final answer
    x = 774.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.