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Finding the Fourth Proportional to 534.35, 800.15 and 289.73

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Solution

The fourth proportional to 534.35, 800.15 and 289.73 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.35 : 800.15 = 289.73 : x
  2. Step 2: Convert to fraction form
    534.35/800.15 = 289.73/x
  3. Step 3: Cross multiply
    534.35x = 800.15 × 289.73
  4. Step 4: Simplify right side
    534.35x = 231,822.01
  5. Step 5: Solve for x
    x = 231,822.01/534.35
  6. Step 6: Final answer
    x = 433.84

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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.