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Finding the Fourth Proportional to 559.55, 837.99 and 284.96

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Solution

The fourth proportional to 559.55, 837.99 and 284.96 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.55 : 837.99 = 284.96 : x
  2. Step 2: Convert to fraction form
    559.55/837.99 = 284.96/x
  3. Step 3: Cross multiply
    559.55x = 837.99 × 284.96
  4. Step 4: Simplify right side
    559.55x = 238,789.44
  5. Step 5: Solve for x
    x = 238,789.44/559.55
  6. Step 6: Final answer
    x = 426.76

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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.