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Finding the Fourth Proportional to 472.11, 708.17 and 309.75

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Solution

The fourth proportional to 472.11, 708.17 and 309.75 is: 464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.11 : 708.17 = 309.75 : x
  2. Step 2: Convert to fraction form
    472.11/708.17 = 309.75/x
  3. Step 3: Cross multiply
    472.11x = 708.17 × 309.75
  4. Step 4: Simplify right side
    472.11x = 219,354.11
  5. Step 5: Solve for x
    x = 219,354.11/472.11
  6. Step 6: Final answer
    x = 464.63

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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.