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Finding the Fourth Proportional to 911.26, 1,365.92 and 520.42

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Solution

The fourth proportional to 911.26, 1,365.92 and 520.42 is: 780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,365.92 = 520.42 : x
  2. Step 2: Convert to fraction form
    911.26/1,365.92 = 520.42/x
  3. Step 3: Cross multiply
    911.26x = 1,365.92 × 520.42
  4. Step 4: Simplify right side
    911.26x = 710,849.48
  5. Step 5: Solve for x
    x = 710,849.48/911.26
  6. Step 6: Final answer
    x = 780.07

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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.