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Finding the Fourth Proportional to 949.39, 1,423.39 and 640.48

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Solution

The fourth proportional to 949.39, 1,423.39 and 640.48 is: 960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.39 : 1,423.39 = 640.48 : x
  2. Step 2: Convert to fraction form
    949.39/1,423.39 = 640.48/x
  3. Step 3: Cross multiply
    949.39x = 1,423.39 × 640.48
  4. Step 4: Simplify right side
    949.39x = 911,645.71
  5. Step 5: Solve for x
    x = 911,645.71/949.39
  6. Step 6: Final answer
    x = 960.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.