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Finding the Fourth Proportional to 1,309.06, 1,961.80 and 486.54

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Solution

The fourth proportional to 1,309.06, 1,961.80 and 486.54 is: 729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.06 : 1,961.80 = 486.54 : x
  2. Step 2: Convert to fraction form
    1,309.06/1,961.80 = 486.54/x
  3. Step 3: Cross multiply
    1,309.06x = 1,961.80 × 486.54
  4. Step 4: Simplify right side
    1,309.06x = 954,494.17
  5. Step 5: Solve for x
    x = 954,494.17/1,309.06
  6. Step 6: Final answer
    x = 729.14

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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.