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Finding the Fourth Proportional to 960.19, 1,440.38 and 440.10

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Solution

The fourth proportional to 960.19, 1,440.38 and 440.10 is: 660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,440.38 = 440.10 : x
  2. Step 2: Convert to fraction form
    960.19/1,440.38 = 440.10/x
  3. Step 3: Cross multiply
    960.19x = 1,440.38 × 440.10
  4. Step 4: Simplify right side
    960.19x = 633,912.34
  5. Step 5: Solve for x
    x = 633,912.34/960.19
  6. Step 6: Final answer
    x = 660.20

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Half scale
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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.