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Finding the Fourth Proportional to 544.02, 809.97 and 536.35

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Solution

The fourth proportional to 544.02, 809.97 and 536.35 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.02 : 809.97 = 536.35 : x
  2. Step 2: Convert to fraction form
    544.02/809.97 = 536.35/x
  3. Step 3: Cross multiply
    544.02x = 809.97 × 536.35
  4. Step 4: Simplify right side
    544.02x = 434,427.41
  5. Step 5: Solve for x
    x = 434,427.41/544.02
  6. Step 6: Final answer
    x = 798.55

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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.