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Finding the Fourth Proportional to 558.38, 836.34 and 547.30

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Solution

The fourth proportional to 558.38, 836.34 and 547.30 is: 819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 836.34 = 547.30 : x
  2. Step 2: Convert to fraction form
    558.38/836.34 = 547.30/x
  3. Step 3: Cross multiply
    558.38x = 836.34 × 547.30
  4. Step 4: Simplify right side
    558.38x = 457,728.88
  5. Step 5: Solve for x
    x = 457,728.88/558.38
  6. Step 6: Final answer
    x = 819.74

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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.