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Finding the Fourth Proportional to 1,903.93, 2,856.17 and 605.50

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Solution

The fourth proportional to 1,903.93, 2,856.17 and 605.50 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.93 : 2,856.17 = 605.50 : x
  2. Step 2: Convert to fraction form
    1,903.93/2,856.17 = 605.50/x
  3. Step 3: Cross multiply
    1,903.93x = 2,856.17 × 605.50
  4. Step 4: Simplify right side
    1,903.93x = 1,729,410.94
  5. Step 5: Solve for x
    x = 1,729,410.94/1,903.93
  6. Step 6: Final answer
    x = 908.34

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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.