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Finding the Fourth Proportional to 471, 705.70 and 333.38

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Solution

The fourth proportional to 471, 705.70 and 333.38 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 705.70 = 333.38 : x
  2. Step 2: Convert to fraction form
    471/705.70 = 333.38/x
  3. Step 3: Cross multiply
    471x = 705.70 × 333.38
  4. Step 4: Simplify right side
    471x = 235,266.27
  5. Step 5: Solve for x
    x = 235,266.27/471
  6. Step 6: Final answer
    x = 499.50

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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.