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Finding the Fourth Proportional to 911.41, 1,257.38 and 561.49

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Solution

The fourth proportional to 911.41, 1,257.38 and 561.49 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.41 : 1,257.38 = 561.49 : x
  2. Step 2: Convert to fraction form
    911.41/1,257.38 = 561.49/x
  3. Step 3: Cross multiply
    911.41x = 1,257.38 × 561.49
  4. Step 4: Simplify right side
    911.41x = 706,001.41
  5. Step 5: Solve for x
    x = 706,001.41/911.41
  6. Step 6: Final answer
    x = 774.63

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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.