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Finding the Fourth Proportional to 1,608.11, 2,219.43 and 1,018.70

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Solution

The fourth proportional to 1,608.11, 2,219.43 and 1,018.70 is: 1,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.11 : 2,219.43 = 1,018.70 : x
  2. Step 2: Convert to fraction form
    1,608.11/2,219.43 = 1,018.70/x
  3. Step 3: Cross multiply
    1,608.11x = 2,219.43 × 1,018.70
  4. Step 4: Simplify right side
    1,608.11x = 2,260,922.24
  5. Step 5: Solve for x
    x = 2,260,922.24/1,608.11
  6. Step 6: Final answer
    x = 1,405.95

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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.