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Finding the Fourth Proportional to 855.74, 1,181.31 and 761.78

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Solution

The fourth proportional to 855.74, 1,181.31 and 761.78 is: 1,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.74 : 1,181.31 = 761.78 : x
  2. Step 2: Convert to fraction form
    855.74/1,181.31 = 761.78/x
  3. Step 3: Cross multiply
    855.74x = 1,181.31 × 761.78
  4. Step 4: Simplify right side
    855.74x = 899,898.33
  5. Step 5: Solve for x
    x = 899,898.33/855.74
  6. Step 6: Final answer
    x = 1,051.60

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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.