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Finding the Fourth Proportional to 1,090.81, 1,634.87 and 505.01

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Solution

The fourth proportional to 1,090.81, 1,634.87 and 505.01 is: 756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.81 : 1,634.87 = 505.01 : x
  2. Step 2: Convert to fraction form
    1,090.81/1,634.87 = 505.01/x
  3. Step 3: Cross multiply
    1,090.81x = 1,634.87 × 505.01
  4. Step 4: Simplify right side
    1,090.81x = 825,631.05
  5. Step 5: Solve for x
    x = 825,631.05/1,090.81
  6. Step 6: Final answer
    x = 756.90

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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.