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Finding the Fourth Proportional to 558.59, 838.35 and 376.20

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Solution

The fourth proportional to 558.59, 838.35 and 376.20 is: 564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 838.35 = 376.20 : x
  2. Step 2: Convert to fraction form
    558.59/838.35 = 376.20/x
  3. Step 3: Cross multiply
    558.59x = 838.35 × 376.20
  4. Step 4: Simplify right side
    558.59x = 315,387.27
  5. Step 5: Solve for x
    x = 315,387.27/558.59
  6. Step 6: Final answer
    x = 564.62

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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.