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Finding the Fourth Proportional to 558.56, 835.89 and 441.98

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Solution

The fourth proportional to 558.56, 835.89 and 441.98 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.56 : 835.89 = 441.98 : x
  2. Step 2: Convert to fraction form
    558.56/835.89 = 441.98/x
  3. Step 3: Cross multiply
    558.56x = 835.89 × 441.98
  4. Step 4: Simplify right side
    558.56x = 369,446.66
  5. Step 5: Solve for x
    x = 369,446.66/558.56
  6. Step 6: Final answer
    x = 661.43

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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.