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Finding the Fourth Proportional to 1,495.06, 2,241.82 and 878.95

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Solution

The fourth proportional to 1,495.06, 2,241.82 and 878.95 is: 1,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.06 : 2,241.82 = 878.95 : x
  2. Step 2: Convert to fraction form
    1,495.06/2,241.82 = 878.95/x
  3. Step 3: Cross multiply
    1,495.06x = 2,241.82 × 878.95
  4. Step 4: Simplify right side
    1,495.06x = 1,970,447.69
  5. Step 5: Solve for x
    x = 1,970,447.69/1,495.06
  6. Step 6: Final answer
    x = 1,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.