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Finding the Fourth Proportional to 558.08, 834.96 and 396.08

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Solution

The fourth proportional to 558.08, 834.96 and 396.08 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.08 : 834.96 = 396.08 : x
  2. Step 2: Convert to fraction form
    558.08/834.96 = 396.08/x
  3. Step 3: Cross multiply
    558.08x = 834.96 × 396.08
  4. Step 4: Simplify right side
    558.08x = 330,710.96
  5. Step 5: Solve for x
    x = 330,710.96/558.08
  6. Step 6: Final answer
    x = 592.59

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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.