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Finding the Fourth Proportional to 779.89, 1,076.46 and 692

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Solution

The fourth proportional to 779.89, 1,076.46 and 692 is: 955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.89 : 1,076.46 = 692 : x
  2. Step 2: Convert to fraction form
    779.89/1,076.46 = 692/x
  3. Step 3: Cross multiply
    779.89x = 1,076.46 × 692
  4. Step 4: Simplify right side
    779.89x = 744,910.32
  5. Step 5: Solve for x
    x = 744,910.32/779.89
  6. Step 6: Final answer
    x = 955.15

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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.