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Finding the Fourth Proportional to 558.12, 836.91 and 314.46

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Solution

The fourth proportional to 558.12, 836.91 and 314.46 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.12 : 836.91 = 314.46 : x
  2. Step 2: Convert to fraction form
    558.12/836.91 = 314.46/x
  3. Step 3: Cross multiply
    558.12x = 836.91 × 314.46
  4. Step 4: Simplify right side
    558.12x = 263,174.72
  5. Step 5: Solve for x
    x = 263,174.72/558.12
  6. Step 6: Final answer
    x = 471.54

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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.