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Finding the Fourth Proportional to 591, 884.46 and 475.20

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Solution

The fourth proportional to 591, 884.46 and 475.20 is: 711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 884.46 = 475.20 : x
  2. Step 2: Convert to fraction form
    591/884.46 = 475.20/x
  3. Step 3: Cross multiply
    591x = 884.46 × 475.20
  4. Step 4: Simplify right side
    591x = 420,295.39
  5. Step 5: Solve for x
    x = 420,295.39/591
  6. Step 6: Final answer
    x = 711.16

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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.