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Finding the Fourth Proportional to 960.15, 1,439.19 and 412.05

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Solution

The fourth proportional to 960.15, 1,439.19 and 412.05 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.15 : 1,439.19 = 412.05 : x
  2. Step 2: Convert to fraction form
    960.15/1,439.19 = 412.05/x
  3. Step 3: Cross multiply
    960.15x = 1,439.19 × 412.05
  4. Step 4: Simplify right side
    960.15x = 593,018.24
  5. Step 5: Solve for x
    x = 593,018.24/960.15
  6. Step 6: Final answer
    x = 617.63

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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.