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Finding the Fourth Proportional to 614.11, 919.72 and 320.91

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Solution

The fourth proportional to 614.11, 919.72 and 320.91 is: 480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.11 : 919.72 = 320.91 : x
  2. Step 2: Convert to fraction form
    614.11/919.72 = 320.91/x
  3. Step 3: Cross multiply
    614.11x = 919.72 × 320.91
  4. Step 4: Simplify right side
    614.11x = 295,148.12
  5. Step 5: Solve for x
    x = 295,148.12/614.11
  6. Step 6: Final answer
    x = 480.61

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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.