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Finding the Fourth Proportional to 1,305.99, 1,958.01 and 484.11

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Solution

The fourth proportional to 1,305.99, 1,958.01 and 484.11 is: 725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.99 : 1,958.01 = 484.11 : x
  2. Step 2: Convert to fraction form
    1,305.99/1,958.01 = 484.11/x
  3. Step 3: Cross multiply
    1,305.99x = 1,958.01 × 484.11
  4. Step 4: Simplify right side
    1,305.99x = 947,892.22
  5. Step 5: Solve for x
    x = 947,892.22/1,305.99
  6. Step 6: Final answer
    x = 725.80

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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.