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Finding the Fourth Proportional to 911.65, 1,364.23 and 667.57

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Solution

The fourth proportional to 911.65, 1,364.23 and 667.57 is: 998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.65 : 1,364.23 = 667.57 : x
  2. Step 2: Convert to fraction form
    911.65/1,364.23 = 667.57/x
  3. Step 3: Cross multiply
    911.65x = 1,364.23 × 667.57
  4. Step 4: Simplify right side
    911.65x = 910,710.53
  5. Step 5: Solve for x
    x = 910,710.53/911.65
  6. Step 6: Final answer
    x = 998.97

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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.