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Finding the Fourth Proportional to 558.59, 838.34 and 394.39

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Solution

The fourth proportional to 558.59, 838.34 and 394.39 is: 591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 838.34 = 394.39 : x
  2. Step 2: Convert to fraction form
    558.59/838.34 = 394.39/x
  3. Step 3: Cross multiply
    558.59x = 838.34 × 394.39
  4. Step 4: Simplify right side
    558.59x = 330,632.91
  5. Step 5: Solve for x
    x = 330,632.91/558.59
  6. Step 6: Final answer
    x = 591.91

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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.