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Finding the Fourth Proportional to 1,174.81, 1,760.73 and 1,028.21

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Solution

The fourth proportional to 1,174.81, 1,760.73 and 1,028.21 is: 1,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.81 : 1,760.73 = 1,028.21 : x
  2. Step 2: Convert to fraction form
    1,174.81/1,760.73 = 1,028.21/x
  3. Step 3: Cross multiply
    1,174.81x = 1,760.73 × 1,028.21
  4. Step 4: Simplify right side
    1,174.81x = 1,810,400.19
  5. Step 5: Solve for x
    x = 1,810,400.19/1,174.81
  6. Step 6: Final answer
    x = 1,541.02

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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.