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Finding the Fourth Proportional to 909, 1,362.96 and 561.78

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Solution

The fourth proportional to 909, 1,362.96 and 561.78 is: 842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909 : 1,362.96 = 561.78 : x
  2. Step 2: Convert to fraction form
    909/1,362.96 = 561.78/x
  3. Step 3: Cross multiply
    909x = 1,362.96 × 561.78
  4. Step 4: Simplify right side
    909x = 765,683.67
  5. Step 5: Solve for x
    x = 765,683.67/909
  6. Step 6: Final answer
    x = 842.34

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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.