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Finding the Fourth Proportional to 467.48, 645.06 and 397.80

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Solution

The fourth proportional to 467.48, 645.06 and 397.80 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.48 : 645.06 = 397.80 : x
  2. Step 2: Convert to fraction form
    467.48/645.06 = 397.80/x
  3. Step 3: Cross multiply
    467.48x = 645.06 × 397.80
  4. Step 4: Simplify right side
    467.48x = 256,604.87
  5. Step 5: Solve for x
    x = 256,604.87/467.48
  6. Step 6: Final answer
    x = 548.91

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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.