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Finding the Fourth Proportional to 541.94, 809.25 and 536.21

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Solution

The fourth proportional to 541.94, 809.25 and 536.21 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 809.25 = 536.21 : x
  2. Step 2: Convert to fraction form
    541.94/809.25 = 536.21/x
  3. Step 3: Cross multiply
    541.94x = 809.25 × 536.21
  4. Step 4: Simplify right side
    541.94x = 433,929.47
  5. Step 5: Solve for x
    x = 433,929.47/541.94
  6. Step 6: Final answer
    x = 800.70

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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.