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Finding the Fourth Proportional to 540.80, 807.04 and 418.40

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Solution

The fourth proportional to 540.80, 807.04 and 418.40 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 807.04 = 418.40 : x
  2. Step 2: Convert to fraction form
    540.80/807.04 = 418.40/x
  3. Step 3: Cross multiply
    540.80x = 807.04 × 418.40
  4. Step 4: Simplify right side
    540.80x = 337,665.54
  5. Step 5: Solve for x
    x = 337,665.54/540.80
  6. Step 6: Final answer
    x = 624.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.