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Finding the Fourth Proportional to 854.26, 1,176.06 and 766.78

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Solution

The fourth proportional to 854.26, 1,176.06 and 766.78 is: 1,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.26 : 1,176.06 = 766.78 : x
  2. Step 2: Convert to fraction form
    854.26/1,176.06 = 766.78/x
  3. Step 3: Cross multiply
    854.26x = 1,176.06 × 766.78
  4. Step 4: Simplify right side
    854.26x = 901,779.29
  5. Step 5: Solve for x
    x = 901,779.29/854.26
  6. Step 6: Final answer
    x = 1,055.63

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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.