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Finding the Fourth Proportional to 911.31, 1,366.26 and 472.08

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Solution

The fourth proportional to 911.31, 1,366.26 and 472.08 is: 707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.31 : 1,366.26 = 472.08 : x
  2. Step 2: Convert to fraction form
    911.31/1,366.26 = 472.08/x
  3. Step 3: Cross multiply
    911.31x = 1,366.26 × 472.08
  4. Step 4: Simplify right side
    911.31x = 644,984.02
  5. Step 5: Solve for x
    x = 644,984.02/911.31
  6. Step 6: Final answer
    x = 707.75

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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.