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Finding the Fourth Proportional to 558.14, 838.83 and 412.34

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Solution

The fourth proportional to 558.14, 838.83 and 412.34 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.14 : 838.83 = 412.34 : x
  2. Step 2: Convert to fraction form
    558.14/838.83 = 412.34/x
  3. Step 3: Cross multiply
    558.14x = 838.83 × 412.34
  4. Step 4: Simplify right side
    558.14x = 345,883.16
  5. Step 5: Solve for x
    x = 345,883.16/558.14
  6. Step 6: Final answer
    x = 619.71

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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.