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Finding the Fourth Proportional to 609.92, 919.44 and 568.16

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Solution

The fourth proportional to 609.92, 919.44 and 568.16 is: 856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.92 : 919.44 = 568.16 : x
  2. Step 2: Convert to fraction form
    609.92/919.44 = 568.16/x
  3. Step 3: Cross multiply
    609.92x = 919.44 × 568.16
  4. Step 4: Simplify right side
    609.92x = 522,389.03
  5. Step 5: Solve for x
    x = 522,389.03/609.92
  6. Step 6: Final answer
    x = 856.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.