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Finding the Fourth Proportional to 558.52, 838.32 and 395.71

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Solution

The fourth proportional to 558.52, 838.32 and 395.71 is: 593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.52 : 838.32 = 395.71 : x
  2. Step 2: Convert to fraction form
    558.52/838.32 = 395.71/x
  3. Step 3: Cross multiply
    558.52x = 838.32 × 395.71
  4. Step 4: Simplify right side
    558.52x = 331,731.61
  5. Step 5: Solve for x
    x = 331,731.61/558.52
  6. Step 6: Final answer
    x = 593.95

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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.