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Finding the Fourth Proportional to 558.64, 836.34 and 420.85

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Solution

The fourth proportional to 558.64, 836.34 and 420.85 is: 630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.64 : 836.34 = 420.85 : x
  2. Step 2: Convert to fraction form
    558.64/836.34 = 420.85/x
  3. Step 3: Cross multiply
    558.64x = 836.34 × 420.85
  4. Step 4: Simplify right side
    558.64x = 351,973.69
  5. Step 5: Solve for x
    x = 351,973.69/558.64
  6. Step 6: Final answer
    x = 630.05

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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.