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Finding the Fourth Proportional to 1,606.76, 2,217.21 and 908.00

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Solution

The fourth proportional to 1,606.76, 2,217.21 and 908.00 is: 1,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.76 : 2,217.21 = 908.00 : x
  2. Step 2: Convert to fraction form
    1,606.76/2,217.21 = 908.00/x
  3. Step 3: Cross multiply
    1,606.76x = 2,217.21 × 908.00
  4. Step 4: Simplify right side
    1,606.76x = 2,013,215.59
  5. Step 5: Solve for x
    x = 2,013,215.59/1,606.76
  6. Step 6: Final answer
    x = 1,252.97

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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.