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Finding the Fourth Proportional to 829.72, 1,145.16 and 689.66

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Solution

The fourth proportional to 829.72, 1,145.16 and 689.66 is: 951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.72 : 1,145.16 = 689.66 : x
  2. Step 2: Convert to fraction form
    829.72/1,145.16 = 689.66/x
  3. Step 3: Cross multiply
    829.72x = 1,145.16 × 689.66
  4. Step 4: Simplify right side
    829.72x = 789,765.32
  5. Step 5: Solve for x
    x = 789,765.32/829.72
  6. Step 6: Final answer
    x = 951.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.