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Finding the Fourth Proportional to 859.21, 1,293.90 and 773.55

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Solution

The fourth proportional to 859.21, 1,293.90 and 773.55 is: 1,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.21 : 1,293.90 = 773.55 : x
  2. Step 2: Convert to fraction form
    859.21/1,293.90 = 773.55/x
  3. Step 3: Cross multiply
    859.21x = 1,293.90 × 773.55
  4. Step 4: Simplify right side
    859.21x = 1,000,893.44
  5. Step 5: Solve for x
    x = 1,000,893.44/859.21
  6. Step 6: Final answer
    x = 1,164.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.