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Finding the Fourth Proportional to 892.73, 1,231.08 and 705.84

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Solution

The fourth proportional to 892.73, 1,231.08 and 705.84 is: 973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.73 : 1,231.08 = 705.84 : x
  2. Step 2: Convert to fraction form
    892.73/1,231.08 = 705.84/x
  3. Step 3: Cross multiply
    892.73x = 1,231.08 × 705.84
  4. Step 4: Simplify right side
    892.73x = 868,945.51
  5. Step 5: Solve for x
    x = 868,945.51/892.73
  6. Step 6: Final answer
    x = 973.36

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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.