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Finding the Fourth Proportional to 911.09, 1,366.82 and 526.25

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Solution

The fourth proportional to 911.09, 1,366.82 and 526.25 is: 789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.09 : 1,366.82 = 526.25 : x
  2. Step 2: Convert to fraction form
    911.09/1,366.82 = 526.25/x
  3. Step 3: Cross multiply
    911.09x = 1,366.82 × 526.25
  4. Step 4: Simplify right side
    911.09x = 719,289.03
  5. Step 5: Solve for x
    x = 719,289.03/911.09
  6. Step 6: Final answer
    x = 789.48

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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.