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Finding the Fourth Proportional to 1,351.95, 2,027.93 and 486.33

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Solution

The fourth proportional to 1,351.95, 2,027.93 and 486.33 is: 729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.95 : 2,027.93 = 486.33 : x
  2. Step 2: Convert to fraction form
    1,351.95/2,027.93 = 486.33/x
  3. Step 3: Cross multiply
    1,351.95x = 2,027.93 × 486.33
  4. Step 4: Simplify right side
    1,351.95x = 986,240.77
  5. Step 5: Solve for x
    x = 986,240.77/1,351.95
  6. Step 6: Final answer
    x = 729.50

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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.