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Finding the Fourth Proportional to 472.78, 708.78 and 308.41

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Solution

The fourth proportional to 472.78, 708.78 and 308.41 is: 462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 708.78 = 308.41 : x
  2. Step 2: Convert to fraction form
    472.78/708.78 = 308.41/x
  3. Step 3: Cross multiply
    472.78x = 708.78 × 308.41
  4. Step 4: Simplify right side
    472.78x = 218,594.84
  5. Step 5: Solve for x
    x = 218,594.84/472.78
  6. Step 6: Final answer
    x = 462.36

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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.