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Finding the Fourth Proportional to 889.35, 1,227.79 and 711.96

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Solution

The fourth proportional to 889.35, 1,227.79 and 711.96 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.35 : 1,227.79 = 711.96 : x
  2. Step 2: Convert to fraction form
    889.35/1,227.79 = 711.96/x
  3. Step 3: Cross multiply
    889.35x = 1,227.79 × 711.96
  4. Step 4: Simplify right side
    889.35x = 874,133.65
  5. Step 5: Solve for x
    x = 874,133.65/889.35
  6. Step 6: Final answer
    x = 982.89

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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.