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Finding the Fourth Proportional to 540.44, 806.48 and 482.20

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Solution

The fourth proportional to 540.44, 806.48 and 482.20 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 806.48 = 482.20 : x
  2. Step 2: Convert to fraction form
    540.44/806.48 = 482.20/x
  3. Step 3: Cross multiply
    540.44x = 806.48 × 482.20
  4. Step 4: Simplify right side
    540.44x = 388,884.66
  5. Step 5: Solve for x
    x = 388,884.66/540.44
  6. Step 6: Final answer
    x = 719.57

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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.