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Finding the Fourth Proportional to 1,173.98, 1,620.09 and 676.61

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Solution

The fourth proportional to 1,173.98, 1,620.09 and 676.61 is: 933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.98 : 1,620.09 = 676.61 : x
  2. Step 2: Convert to fraction form
    1,173.98/1,620.09 = 676.61/x
  3. Step 3: Cross multiply
    1,173.98x = 1,620.09 × 676.61
  4. Step 4: Simplify right side
    1,173.98x = 1,096,174.91
  5. Step 5: Solve for x
    x = 1,096,174.91/1,173.98
  6. Step 6: Final answer
    x = 933.73

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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.