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Finding the Fourth Proportional to 949.65, 1,309.41 and 669.93

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Solution

The fourth proportional to 949.65, 1,309.41 and 669.93 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.65 : 1,309.41 = 669.93 : x
  2. Step 2: Convert to fraction form
    949.65/1,309.41 = 669.93/x
  3. Step 3: Cross multiply
    949.65x = 1,309.41 × 669.93
  4. Step 4: Simplify right side
    949.65x = 877,213.04
  5. Step 5: Solve for x
    x = 877,213.04/949.65
  6. Step 6: Final answer
    x = 923.72

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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.