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Finding the Fourth Proportional to 2,305.95, 3,458.66 and 640.20

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Solution

The fourth proportional to 2,305.95, 3,458.66 and 640.20 is: 960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.95 : 3,458.66 = 640.20 : x
  2. Step 2: Convert to fraction form
    2,305.95/3,458.66 = 640.20/x
  3. Step 3: Cross multiply
    2,305.95x = 3,458.66 × 640.20
  4. Step 4: Simplify right side
    2,305.95x = 2,214,230.93
  5. Step 5: Solve for x
    x = 2,214,230.93/2,305.95
  6. Step 6: Final answer
    x = 960.23

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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.