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Finding the Fourth Proportional to 1,174.54, 1,617.56 and 1,149.02

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Solution

The fourth proportional to 1,174.54, 1,617.56 and 1,149.02 is: 1,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.54 : 1,617.56 = 1,149.02 : x
  2. Step 2: Convert to fraction form
    1,174.54/1,617.56 = 1,149.02/x
  3. Step 3: Cross multiply
    1,174.54x = 1,617.56 × 1,149.02
  4. Step 4: Simplify right side
    1,174.54x = 1,858,608.79
  5. Step 5: Solve for x
    x = 1,858,608.79/1,174.54
  6. Step 6: Final answer
    x = 1,582.41

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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.