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Finding the Fourth Proportional to 472.10, 708.01 and 252.59

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Solution

The fourth proportional to 472.10, 708.01 and 252.59 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 708.01 = 252.59 : x
  2. Step 2: Convert to fraction form
    472.10/708.01 = 252.59/x
  3. Step 3: Cross multiply
    472.10x = 708.01 × 252.59
  4. Step 4: Simplify right side
    472.10x = 178,832.07
  5. Step 5: Solve for x
    x = 178,832.07/472.10
  6. Step 6: Final answer
    x = 378.81

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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.