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Finding the Fourth Proportional to 534.54, 801.73 and 443.82

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Solution

The fourth proportional to 534.54, 801.73 and 443.82 is: 665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.54 : 801.73 = 443.82 : x
  2. Step 2: Convert to fraction form
    534.54/801.73 = 443.82/x
  3. Step 3: Cross multiply
    534.54x = 801.73 × 443.82
  4. Step 4: Simplify right side
    534.54x = 355,823.81
  5. Step 5: Solve for x
    x = 355,823.81/534.54
  6. Step 6: Final answer
    x = 665.66

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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.