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Finding the Fourth Proportional to 968.93, 1,450.35 and 792.75

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Solution

The fourth proportional to 968.93, 1,450.35 and 792.75 is: 1,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.93 : 1,450.35 = 792.75 : x
  2. Step 2: Convert to fraction form
    968.93/1,450.35 = 792.75/x
  3. Step 3: Cross multiply
    968.93x = 1,450.35 × 792.75
  4. Step 4: Simplify right side
    968.93x = 1,149,764.96
  5. Step 5: Solve for x
    x = 1,149,764.96/968.93
  6. Step 6: Final answer
    x = 1,186.64

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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.