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Finding the Fourth Proportional to 541.17, 809.93 and 496.22

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Solution

The fourth proportional to 541.17, 809.93 and 496.22 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 809.93 = 496.22 : x
  2. Step 2: Convert to fraction form
    541.17/809.93 = 496.22/x
  3. Step 3: Cross multiply
    541.17x = 809.93 × 496.22
  4. Step 4: Simplify right side
    541.17x = 401,900.66
  5. Step 5: Solve for x
    x = 401,900.66/541.17
  6. Step 6: Final answer
    x = 742.65

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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.