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Finding the Fourth Proportional to 590.69, 885 and 516.74

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Solution

The fourth proportional to 590.69, 885 and 516.74 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 885 = 516.74 : x
  2. Step 2: Convert to fraction form
    590.69/885 = 516.74/x
  3. Step 3: Cross multiply
    590.69x = 885 × 516.74
  4. Step 4: Simplify right side
    590.69x = 457,310.48
  5. Step 5: Solve for x
    x = 457,310.48/590.69
  6. Step 6: Final answer
    x = 774.20

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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.