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Finding the Fourth Proportional to 866.96, 1,290.68 and 854.80

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Solution

The fourth proportional to 866.96, 1,290.68 and 854.80 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,290.68 = 854.80 : x
  2. Step 2: Convert to fraction form
    866.96/1,290.68 = 854.80/x
  3. Step 3: Cross multiply
    866.96x = 1,290.68 × 854.80
  4. Step 4: Simplify right side
    866.96x = 1,103,273.26
  5. Step 5: Solve for x
    x = 1,103,273.26/866.96
  6. Step 6: Final answer
    x = 1,272.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.