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Finding the Fourth Proportional to 475.99, 713.90 and 151.43

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Solution

The fourth proportional to 475.99, 713.90 and 151.43 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.99 : 713.90 = 151.43 : x
  2. Step 2: Convert to fraction form
    475.99/713.90 = 151.43/x
  3. Step 3: Cross multiply
    475.99x = 713.90 × 151.43
  4. Step 4: Simplify right side
    475.99x = 108,102.69
  5. Step 5: Solve for x
    x = 108,102.69/475.99
  6. Step 6: Final answer
    x = 227.11

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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.