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Finding the Fourth Proportional to 471.91, 707.99 and 237.79

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Solution

The fourth proportional to 471.91, 707.99 and 237.79 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.91 : 707.99 = 237.79 : x
  2. Step 2: Convert to fraction form
    471.91/707.99 = 237.79/x
  3. Step 3: Cross multiply
    471.91x = 707.99 × 237.79
  4. Step 4: Simplify right side
    471.91x = 168,351.75
  5. Step 5: Solve for x
    x = 168,351.75/471.91
  6. Step 6: Final answer
    x = 356.75

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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.