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Finding the Fourth Proportional to 609.96, 919.32 and 574.68

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Solution

The fourth proportional to 609.96, 919.32 and 574.68 is: 866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 919.32 = 574.68 : x
  2. Step 2: Convert to fraction form
    609.96/919.32 = 574.68/x
  3. Step 3: Cross multiply
    609.96x = 919.32 × 574.68
  4. Step 4: Simplify right side
    609.96x = 528,314.82
  5. Step 5: Solve for x
    x = 528,314.82/609.96
  6. Step 6: Final answer
    x = 866.15

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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.