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Finding the Fourth Proportional to 540.60, 809.10 and 378.60

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Solution

The fourth proportional to 540.60, 809.10 and 378.60 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 809.10 = 378.60 : x
  2. Step 2: Convert to fraction form
    540.60/809.10 = 378.60/x
  3. Step 3: Cross multiply
    540.60x = 809.10 × 378.60
  4. Step 4: Simplify right side
    540.60x = 306,325.26
  5. Step 5: Solve for x
    x = 306,325.26/540.60
  6. Step 6: Final answer
    x = 566.64

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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.