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Finding the Fourth Proportional to 534.27, 803.09 and 443.55

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Solution

The fourth proportional to 534.27, 803.09 and 443.55 is: 666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.27 : 803.09 = 443.55 : x
  2. Step 2: Convert to fraction form
    534.27/803.09 = 443.55/x
  3. Step 3: Cross multiply
    534.27x = 803.09 × 443.55
  4. Step 4: Simplify right side
    534.27x = 356,208.35
  5. Step 5: Solve for x
    x = 356,208.35/534.27
  6. Step 6: Final answer
    x = 666.72

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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.