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Finding the Fourth Proportional to 2,660.61, 3,990.80 and 905.55

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Solution

The fourth proportional to 2,660.61, 3,990.80 and 905.55 is: 1,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.61 : 3,990.80 = 905.55 : x
  2. Step 2: Convert to fraction form
    2,660.61/3,990.80 = 905.55/x
  3. Step 3: Cross multiply
    2,660.61x = 3,990.80 × 905.55
  4. Step 4: Simplify right side
    2,660.61x = 3,613,868.94
  5. Step 5: Solve for x
    x = 3,613,868.94/2,660.61
  6. Step 6: Final answer
    x = 1,358.29

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1.5x scale

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.