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Finding the Fourth Proportional to 964.22, 1,444.39 and 443.49

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Solution

The fourth proportional to 964.22, 1,444.39 and 443.49 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,444.39 = 443.49 : x
  2. Step 2: Convert to fraction form
    964.22/1,444.39 = 443.49/x
  3. Step 3: Cross multiply
    964.22x = 1,444.39 × 443.49
  4. Step 4: Simplify right side
    964.22x = 640,579.32
  5. Step 5: Solve for x
    x = 640,579.32/964.22
  6. Step 6: Final answer
    x = 664.35

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Double scale
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1.5x scale

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.