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Finding the Fourth Proportional to 1,603.56, 2,213.50 and 940.97

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Solution

The fourth proportional to 1,603.56, 2,213.50 and 940.97 is: 1,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.56 : 2,213.50 = 940.97 : x
  2. Step 2: Convert to fraction form
    1,603.56/2,213.50 = 940.97/x
  3. Step 3: Cross multiply
    1,603.56x = 2,213.50 × 940.97
  4. Step 4: Simplify right side
    1,603.56x = 2,082,823.68
  5. Step 5: Solve for x
    x = 2,082,823.68/1,603.56
  6. Step 6: Final answer
    x = 1,298.87

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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.