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Finding the Fourth Proportional to 558.60, 837.98 and 284.55

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Solution

The fourth proportional to 558.60, 837.98 and 284.55 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.60 : 837.98 = 284.55 : x
  2. Step 2: Convert to fraction form
    558.60/837.98 = 284.55/x
  3. Step 3: Cross multiply
    558.60x = 837.98 × 284.55
  4. Step 4: Simplify right side
    558.60x = 238,447.21
  5. Step 5: Solve for x
    x = 238,447.21/558.60
  6. Step 6: Final answer
    x = 426.87

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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.