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Finding the Fourth Proportional to 1,174.03, 1,620.43 and 731.85

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Solution

The fourth proportional to 1,174.03, 1,620.43 and 731.85 is: 1,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.03 : 1,620.43 = 731.85 : x
  2. Step 2: Convert to fraction form
    1,174.03/1,620.43 = 731.85/x
  3. Step 3: Cross multiply
    1,174.03x = 1,620.43 × 731.85
  4. Step 4: Simplify right side
    1,174.03x = 1,185,908.13
  5. Step 5: Solve for x
    x = 1,185,908.13/1,174.03
  6. Step 6: Final answer
    x = 1,010.12

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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.