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Finding the Fourth Proportional to 949.28, 1,309.44 and 669.40

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Solution

The fourth proportional to 949.28, 1,309.44 and 669.40 is: 923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.28 : 1,309.44 = 669.40 : x
  2. Step 2: Convert to fraction form
    949.28/1,309.44 = 669.40/x
  3. Step 3: Cross multiply
    949.28x = 1,309.44 × 669.40
  4. Step 4: Simplify right side
    949.28x = 876,539.14
  5. Step 5: Solve for x
    x = 876,539.14/949.28
  6. Step 6: Final answer
    x = 923.37

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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.