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Finding the Fourth Proportional to 609.92, 836.56 and 564.56

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Solution

The fourth proportional to 609.92, 836.56 and 564.56 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.92 : 836.56 = 564.56 : x
  2. Step 2: Convert to fraction form
    609.92/836.56 = 564.56/x
  3. Step 3: Cross multiply
    609.92x = 836.56 × 564.56
  4. Step 4: Simplify right side
    609.92x = 472,288.31
  5. Step 5: Solve for x
    x = 472,288.31/609.92
  6. Step 6: Final answer
    x = 774.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.