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Finding the Fourth Proportional to 591.28, 885.71 and 475.09

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Solution

The fourth proportional to 591.28, 885.71 and 475.09 is: 711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.28 : 885.71 = 475.09 : x
  2. Step 2: Convert to fraction form
    591.28/885.71 = 475.09/x
  3. Step 3: Cross multiply
    591.28x = 885.71 × 475.09
  4. Step 4: Simplify right side
    591.28x = 420,791.96
  5. Step 5: Solve for x
    x = 420,791.96/591.28
  6. Step 6: Final answer
    x = 711.66

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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.