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Finding the Fourth Proportional to 893.50, 1,231.98 and 716.33

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Solution

The fourth proportional to 893.50, 1,231.98 and 716.33 is: 987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.50 : 1,231.98 = 716.33 : x
  2. Step 2: Convert to fraction form
    893.50/1,231.98 = 716.33/x
  3. Step 3: Cross multiply
    893.50x = 1,231.98 × 716.33
  4. Step 4: Simplify right side
    893.50x = 882,501.73
  5. Step 5: Solve for x
    x = 882,501.73/893.50
  6. Step 6: Final answer
    x = 987.69

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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.