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Finding the Fourth Proportional to 911.63, 1,366.20 and 500.96

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Solution

The fourth proportional to 911.63, 1,366.20 and 500.96 is: 750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.63 : 1,366.20 = 500.96 : x
  2. Step 2: Convert to fraction form
    911.63/1,366.20 = 500.96/x
  3. Step 3: Cross multiply
    911.63x = 1,366.20 × 500.96
  4. Step 4: Simplify right side
    911.63x = 684,404.72
  5. Step 5: Solve for x
    x = 684,404.72/911.63
  6. Step 6: Final answer
    x = 750.75

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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.