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Finding the Fourth Proportional to 534.11, 800.22 and 456.28

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Solution

The fourth proportional to 534.11, 800.22 and 456.28 is: 683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.11 : 800.22 = 456.28 : x
  2. Step 2: Convert to fraction form
    534.11/800.22 = 456.28/x
  3. Step 3: Cross multiply
    534.11x = 800.22 × 456.28
  4. Step 4: Simplify right side
    534.11x = 365,124.38
  5. Step 5: Solve for x
    x = 365,124.38/534.11
  6. Step 6: Final answer
    x = 683.61

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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.