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Finding the Fourth Proportional to 534.21, 800.10 and 442.29

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Solution

The fourth proportional to 534.21, 800.10 and 442.29 is: 662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 800.10 = 442.29 : x
  2. Step 2: Convert to fraction form
    534.21/800.10 = 442.29/x
  3. Step 3: Cross multiply
    534.21x = 800.10 × 442.29
  4. Step 4: Simplify right side
    534.21x = 353,876.23
  5. Step 5: Solve for x
    x = 353,876.23/534.21
  6. Step 6: Final answer
    x = 662.43

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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.