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Finding the Fourth Proportional to 667.29, 919.60 and 578.51

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Solution

The fourth proportional to 667.29, 919.60 and 578.51 is: 797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 919.60 = 578.51 : x
  2. Step 2: Convert to fraction form
    667.29/919.60 = 578.51/x
  3. Step 3: Cross multiply
    667.29x = 919.60 × 578.51
  4. Step 4: Simplify right side
    667.29x = 531,997.80
  5. Step 5: Solve for x
    x = 531,997.80/667.29
  6. Step 6: Final answer
    x = 797.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.