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Finding the Fourth Proportional to 559.20, 838.62 and 169.12

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Solution

The fourth proportional to 559.20, 838.62 and 169.12 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.20 : 838.62 = 169.12 : x
  2. Step 2: Convert to fraction form
    559.20/838.62 = 169.12/x
  3. Step 3: Cross multiply
    559.20x = 838.62 × 169.12
  4. Step 4: Simplify right side
    559.20x = 141,827.41
  5. Step 5: Solve for x
    x = 141,827.41/559.20
  6. Step 6: Final answer
    x = 253.63

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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.