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Finding the Fourth Proportional to 3,255.40, 4,883.05 and 790.24

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Solution

The fourth proportional to 3,255.40, 4,883.05 and 790.24 is: 1,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.40 : 4,883.05 = 790.24 : x
  2. Step 2: Convert to fraction form
    3,255.40/4,883.05 = 790.24/x
  3. Step 3: Cross multiply
    3,255.40x = 4,883.05 × 790.24
  4. Step 4: Simplify right side
    3,255.40x = 3,858,781.43
  5. Step 5: Solve for x
    x = 3,858,781.43/3,255.40
  6. Step 6: Final answer
    x = 1,185.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.