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Finding the Fourth Proportional to 1,305.95, 1,958.65 and 484.25

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Solution

The fourth proportional to 1,305.95, 1,958.65 and 484.25 is: 726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.95 : 1,958.65 = 484.25 : x
  2. Step 2: Convert to fraction form
    1,305.95/1,958.65 = 484.25/x
  3. Step 3: Cross multiply
    1,305.95x = 1,958.65 × 484.25
  4. Step 4: Simplify right side
    1,305.95x = 948,476.26
  5. Step 5: Solve for x
    x = 948,476.26/1,305.95
  6. Step 6: Final answer
    x = 726.27

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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.