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Finding the Fourth Proportional to 472.64, 650.85 and 398.66

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Solution

The fourth proportional to 472.64, 650.85 and 398.66 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 650.85 = 398.66 : x
  2. Step 2: Convert to fraction form
    472.64/650.85 = 398.66/x
  3. Step 3: Cross multiply
    472.64x = 650.85 × 398.66
  4. Step 4: Simplify right side
    472.64x = 259,467.86
  5. Step 5: Solve for x
    x = 259,467.86/472.64
  6. Step 6: Final answer
    x = 548.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.