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Finding the Fourth Proportional to 889.25, 1,224.26 and 772.77

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Solution

The fourth proportional to 889.25, 1,224.26 and 772.77 is: 1,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.25 : 1,224.26 = 772.77 : x
  2. Step 2: Convert to fraction form
    889.25/1,224.26 = 772.77/x
  3. Step 3: Cross multiply
    889.25x = 1,224.26 × 772.77
  4. Step 4: Simplify right side
    889.25x = 946,071.40
  5. Step 5: Solve for x
    x = 946,071.40/889.25
  6. Step 6: Final answer
    x = 1,063.90

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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.