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Finding the Fourth Proportional to 558.06, 769.32 and 426.84

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Solution

The fourth proportional to 558.06, 769.32 and 426.84 is: 588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.06 : 769.32 = 426.84 : x
  2. Step 2: Convert to fraction form
    558.06/769.32 = 426.84/x
  3. Step 3: Cross multiply
    558.06x = 769.32 × 426.84
  4. Step 4: Simplify right side
    558.06x = 328,376.55
  5. Step 5: Solve for x
    x = 328,376.55/558.06
  6. Step 6: Final answer
    x = 588.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.