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Finding the Fourth Proportional to 605.78, 836.01 and 474.56

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Solution

The fourth proportional to 605.78, 836.01 and 474.56 is: 654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 836.01 = 474.56 : x
  2. Step 2: Convert to fraction form
    605.78/836.01 = 474.56/x
  3. Step 3: Cross multiply
    605.78x = 836.01 × 474.56
  4. Step 4: Simplify right side
    605.78x = 396,739.00
  5. Step 5: Solve for x
    x = 396,739.00/605.78
  6. Step 6: Final answer
    x = 654.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.