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Finding the Fourth Proportional to 911.82, 1,366.11 and 472.53

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Solution

The fourth proportional to 911.82, 1,366.11 and 472.53 is: 707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.82 : 1,366.11 = 472.53 : x
  2. Step 2: Convert to fraction form
    911.82/1,366.11 = 472.53/x
  3. Step 3: Cross multiply
    911.82x = 1,366.11 × 472.53
  4. Step 4: Simplify right side
    911.82x = 645,527.96
  5. Step 5: Solve for x
    x = 645,527.96/911.82
  6. Step 6: Final answer
    x = 707.96

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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.