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Finding the Fourth Proportional to 564.60, 844.74 and 420.96

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Solution

The fourth proportional to 564.60, 844.74 and 420.96 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 844.74 = 420.96 : x
  2. Step 2: Convert to fraction form
    564.60/844.74 = 420.96/x
  3. Step 3: Cross multiply
    564.60x = 844.74 × 420.96
  4. Step 4: Simplify right side
    564.60x = 355,601.75
  5. Step 5: Solve for x
    x = 355,601.75/564.60
  6. Step 6: Final answer
    x = 629.83

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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.