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Finding the Fourth Proportional to 1,608.87, 2,219.95 and 945.85

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Solution

The fourth proportional to 1,608.87, 2,219.95 and 945.85 is: 1,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.87 : 2,219.95 = 945.85 : x
  2. Step 2: Convert to fraction form
    1,608.87/2,219.95 = 945.85/x
  3. Step 3: Cross multiply
    1,608.87x = 2,219.95 × 945.85
  4. Step 4: Simplify right side
    1,608.87x = 2,099,734.98
  5. Step 5: Solve for x
    x = 2,099,734.98/1,608.87
  6. Step 6: Final answer
    x = 1,305.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.