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Finding the Fourth Proportional to 2,309.55, 3,464.03 and 643.80

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Solution

The fourth proportional to 2,309.55, 3,464.03 and 643.80 is: 965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.55 : 3,464.03 = 643.80 : x
  2. Step 2: Convert to fraction form
    2,309.55/3,464.03 = 643.80/x
  3. Step 3: Cross multiply
    2,309.55x = 3,464.03 × 643.80
  4. Step 4: Simplify right side
    2,309.55x = 2,230,134.01
  5. Step 5: Solve for x
    x = 2,230,134.01/2,309.55
  6. Step 6: Final answer
    x = 965.62

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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.