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Finding the Fourth Proportional to 558.43, 838.46 and 385.36

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Solution

The fourth proportional to 558.43, 838.46 and 385.36 is: 578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.43 : 838.46 = 385.36 : x
  2. Step 2: Convert to fraction form
    558.43/838.46 = 385.36/x
  3. Step 3: Cross multiply
    558.43x = 838.46 × 385.36
  4. Step 4: Simplify right side
    558.43x = 323,102.83
  5. Step 5: Solve for x
    x = 323,102.83/558.43
  6. Step 6: Final answer
    x = 578.60

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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.