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Finding the Fourth Proportional to 911.88, 1,366.66 and 500.12

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Solution

The fourth proportional to 911.88, 1,366.66 and 500.12 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.88 : 1,366.66 = 500.12 : x
  2. Step 2: Convert to fraction form
    911.88/1,366.66 = 500.12/x
  3. Step 3: Cross multiply
    911.88x = 1,366.66 × 500.12
  4. Step 4: Simplify right side
    911.88x = 683,494.00
  5. Step 5: Solve for x
    x = 683,494.00/911.88
  6. Step 6: Final answer
    x = 749.54

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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.