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Finding the Fourth Proportional to 609.53, 914.49 and 564.57

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Solution

The fourth proportional to 609.53, 914.49 and 564.57 is: 847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 914.49 = 564.57 : x
  2. Step 2: Convert to fraction form
    609.53/914.49 = 564.57/x
  3. Step 3: Cross multiply
    609.53x = 914.49 × 564.57
  4. Step 4: Simplify right side
    609.53x = 516,293.62
  5. Step 5: Solve for x
    x = 516,293.62/609.53
  6. Step 6: Final answer
    x = 847.04

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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.