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Finding the Fourth Proportional to 960.19, 1,439.09 and 411.74

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Solution

The fourth proportional to 960.19, 1,439.09 and 411.74 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,439.09 = 411.74 : x
  2. Step 2: Convert to fraction form
    960.19/1,439.09 = 411.74/x
  3. Step 3: Cross multiply
    960.19x = 1,439.09 × 411.74
  4. Step 4: Simplify right side
    960.19x = 592,529.12
  5. Step 5: Solve for x
    x = 592,529.12/960.19
  6. Step 6: Final answer
    x = 617.09

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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.