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Finding the Fourth Proportional to 555.20, 766.04 and 397.80

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Solution

The fourth proportional to 555.20, 766.04 and 397.80 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 766.04 = 397.80 : x
  2. Step 2: Convert to fraction form
    555.20/766.04 = 397.80/x
  3. Step 3: Cross multiply
    555.20x = 766.04 × 397.80
  4. Step 4: Simplify right side
    555.20x = 304,728.72
  5. Step 5: Solve for x
    x = 304,728.72/555.20
  6. Step 6: Final answer
    x = 548.86

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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.