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Finding the Fourth Proportional to 960.20, 1,441.10 and 412.76

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Solution

The fourth proportional to 960.20, 1,441.10 and 412.76 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.20 : 1,441.10 = 412.76 : x
  2. Step 2: Convert to fraction form
    960.20/1,441.10 = 412.76/x
  3. Step 3: Cross multiply
    960.20x = 1,441.10 × 412.76
  4. Step 4: Simplify right side
    960.20x = 594,826.37
  5. Step 5: Solve for x
    x = 594,826.37/960.20
  6. Step 6: Final answer
    x = 619.48

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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.