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Finding the Fourth Proportional to 535.49, 801.94 and 443.51

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Solution

The fourth proportional to 535.49, 801.94 and 443.51 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.49 : 801.94 = 443.51 : x
  2. Step 2: Convert to fraction form
    535.49/801.94 = 443.51/x
  3. Step 3: Cross multiply
    535.49x = 801.94 × 443.51
  4. Step 4: Simplify right side
    535.49x = 355,668.41
  5. Step 5: Solve for x
    x = 355,668.41/535.49
  6. Step 6: Final answer
    x = 664.19

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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.