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Finding the Fourth Proportional to 669.44, 919.84 and 531.20

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Solution

The fourth proportional to 669.44, 919.84 and 531.20 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.44 : 919.84 = 531.20 : x
  2. Step 2: Convert to fraction form
    669.44/919.84 = 531.20/x
  3. Step 3: Cross multiply
    669.44x = 919.84 × 531.20
  4. Step 4: Simplify right side
    669.44x = 488,619.01
  5. Step 5: Solve for x
    x = 488,619.01/669.44
  6. Step 6: Final answer
    x = 729.89

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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.