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Finding the Fourth Proportional to 558.78, 835.09 and 412.84

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Solution

The fourth proportional to 558.78, 835.09 and 412.84 is: 616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.78 : 835.09 = 412.84 : x
  2. Step 2: Convert to fraction form
    558.78/835.09 = 412.84/x
  3. Step 3: Cross multiply
    558.78x = 835.09 × 412.84
  4. Step 4: Simplify right side
    558.78x = 344,758.56
  5. Step 5: Solve for x
    x = 344,758.56/558.78
  6. Step 6: Final answer
    x = 616.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.