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Finding the Fourth Proportional to 534.49, 800.44 and 442.51

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Solution

The fourth proportional to 534.49, 800.44 and 442.51 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 800.44 = 442.51 : x
  2. Step 2: Convert to fraction form
    534.49/800.44 = 442.51/x
  3. Step 3: Cross multiply
    534.49x = 800.44 × 442.51
  4. Step 4: Simplify right side
    534.49x = 354,202.70
  5. Step 5: Solve for x
    x = 354,202.70/534.49
  6. Step 6: Final answer
    x = 662.69

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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.