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Finding the Fourth Proportional to 538.32, 806.20 and 415.56

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Solution

The fourth proportional to 538.32, 806.20 and 415.56 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.32 : 806.20 = 415.56 : x
  2. Step 2: Convert to fraction form
    538.32/806.20 = 415.56/x
  3. Step 3: Cross multiply
    538.32x = 806.20 × 415.56
  4. Step 4: Simplify right side
    538.32x = 335,024.47
  5. Step 5: Solve for x
    x = 335,024.47/538.32
  6. Step 6: Final answer
    x = 622.35

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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.