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Finding the Fourth Proportional to 590.56, 885.09 and 517.25

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Solution

The fourth proportional to 590.56, 885.09 and 517.25 is: 775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 885.09 = 517.25 : x
  2. Step 2: Convert to fraction form
    590.56/885.09 = 517.25/x
  3. Step 3: Cross multiply
    590.56x = 885.09 × 517.25
  4. Step 4: Simplify right side
    590.56x = 457,812.80
  5. Step 5: Solve for x
    x = 457,812.80/590.56
  6. Step 6: Final answer
    x = 775.22

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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.