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Finding the Fourth Proportional to 893.70, 1,339.71 and 796.50

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Solution

The fourth proportional to 893.70, 1,339.71 and 796.50 is: 1,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,339.71 = 796.50 : x
  2. Step 2: Convert to fraction form
    893.70/1,339.71 = 796.50/x
  3. Step 3: Cross multiply
    893.70x = 1,339.71 × 796.50
  4. Step 4: Simplify right side
    893.70x = 1,067,079.02
  5. Step 5: Solve for x
    x = 1,067,079.02/893.70
  6. Step 6: Final answer
    x = 1,194.00

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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.