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Finding the Fourth Proportional to 534.64, 800.96 and 447.44

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Solution

The fourth proportional to 534.64, 800.96 and 447.44 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.64 : 800.96 = 447.44 : x
  2. Step 2: Convert to fraction form
    534.64/800.96 = 447.44/x
  3. Step 3: Cross multiply
    534.64x = 800.96 × 447.44
  4. Step 4: Simplify right side
    534.64x = 358,381.54
  5. Step 5: Solve for x
    x = 358,381.54/534.64
  6. Step 6: Final answer
    x = 670.32

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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.