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Finding the Fourth Proportional to 911.70, 1,365.66 and 471.62

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Solution

The fourth proportional to 911.70, 1,365.66 and 471.62 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.70 : 1,365.66 = 471.62 : x
  2. Step 2: Convert to fraction form
    911.70/1,365.66 = 471.62/x
  3. Step 3: Cross multiply
    911.70x = 1,365.66 × 471.62
  4. Step 4: Simplify right side
    911.70x = 644,072.57
  5. Step 5: Solve for x
    x = 644,072.57/911.70
  6. Step 6: Final answer
    x = 706.45

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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.