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Finding the Fourth Proportional to 887.22, 1,224.50 and 514.19

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Solution

The fourth proportional to 887.22, 1,224.50 and 514.19 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.22 : 1,224.50 = 514.19 : x
  2. Step 2: Convert to fraction form
    887.22/1,224.50 = 514.19/x
  3. Step 3: Cross multiply
    887.22x = 1,224.50 × 514.19
  4. Step 4: Simplify right side
    887.22x = 629,626.15
  5. Step 5: Solve for x
    x = 629,626.15/887.22
  6. Step 6: Final answer
    x = 709.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.