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Finding the Fourth Proportional to 558.36, 836.00 and 420.99

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Solution

The fourth proportional to 558.36, 836.00 and 420.99 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.36 : 836.00 = 420.99 : x
  2. Step 2: Convert to fraction form
    558.36/836.00 = 420.99/x
  3. Step 3: Cross multiply
    558.36x = 836.00 × 420.99
  4. Step 4: Simplify right side
    558.36x = 351,945.54
  5. Step 5: Solve for x
    x = 351,945.54/558.36
  6. Step 6: Final answer
    x = 630.32

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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.