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Finding the Fourth Proportional to 558.92, 838.90 and 285.22

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Solution

The fourth proportional to 558.92, 838.90 and 285.22 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.92 : 838.90 = 285.22 : x
  2. Step 2: Convert to fraction form
    558.92/838.90 = 285.22/x
  3. Step 3: Cross multiply
    558.92x = 838.90 × 285.22
  4. Step 4: Simplify right side
    558.92x = 239,266.86
  5. Step 5: Solve for x
    x = 239,266.86/558.92
  6. Step 6: Final answer
    x = 428.09

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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.