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Finding the Fourth Proportional to 558.37, 837.48 and 284.65

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Solution

The fourth proportional to 558.37, 837.48 and 284.65 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.37 : 837.48 = 284.65 : x
  2. Step 2: Convert to fraction form
    558.37/837.48 = 284.65/x
  3. Step 3: Cross multiply
    558.37x = 837.48 × 284.65
  4. Step 4: Simplify right side
    558.37x = 238,388.68
  5. Step 5: Solve for x
    x = 238,388.68/558.37
  6. Step 6: Final answer
    x = 426.94

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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.