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Finding the Fourth Proportional to 1,635.47, 2,454.22 and 905.55

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Solution

The fourth proportional to 1,635.47, 2,454.22 and 905.55 is: 1,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.47 : 2,454.22 = 905.55 : x
  2. Step 2: Convert to fraction form
    1,635.47/2,454.22 = 905.55/x
  3. Step 3: Cross multiply
    1,635.47x = 2,454.22 × 905.55
  4. Step 4: Simplify right side
    1,635.47x = 2,222,434.10
  5. Step 5: Solve for x
    x = 2,222,434.10/1,635.47
  6. Step 6: Final answer
    x = 1,358.90

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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.