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Finding the Fourth Proportional to 1,090.59, 1,633.64 and 725.55

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Solution

The fourth proportional to 1,090.59, 1,633.64 and 725.55 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.59 : 1,633.64 = 725.55 : x
  2. Step 2: Convert to fraction form
    1,090.59/1,633.64 = 725.55/x
  3. Step 3: Cross multiply
    1,090.59x = 1,633.64 × 725.55
  4. Step 4: Simplify right side
    1,090.59x = 1,185,283.87
  5. Step 5: Solve for x
    x = 1,185,283.87/1,090.59
  6. Step 6: Final answer
    x = 1,086.83

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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.