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Finding the Fourth Proportional to 777.76, 1,072.26 and 611.32

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Solution

The fourth proportional to 777.76, 1,072.26 and 611.32 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.76 : 1,072.26 = 611.32 : x
  2. Step 2: Convert to fraction form
    777.76/1,072.26 = 611.32/x
  3. Step 3: Cross multiply
    777.76x = 1,072.26 × 611.32
  4. Step 4: Simplify right side
    777.76x = 655,493.98
  5. Step 5: Solve for x
    x = 655,493.98/777.76
  6. Step 6: Final answer
    x = 842.80

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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.