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Finding the Fourth Proportional to 796.38, 1,100.43 and 623.04

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Solution

The fourth proportional to 796.38, 1,100.43 and 623.04 is: 860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.38 : 1,100.43 = 623.04 : x
  2. Step 2: Convert to fraction form
    796.38/1,100.43 = 623.04/x
  3. Step 3: Cross multiply
    796.38x = 1,100.43 × 623.04
  4. Step 4: Simplify right side
    796.38x = 685,611.91
  5. Step 5: Solve for x
    x = 685,611.91/796.38
  6. Step 6: Final answer
    x = 860.91

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1.5x scale

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.