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Finding the Fourth Proportional to 878.90, 1,315.96 and 682.18

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Solution

The fourth proportional to 878.90, 1,315.96 and 682.18 is: 1,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.90 : 1,315.96 = 682.18 : x
  2. Step 2: Convert to fraction form
    878.90/1,315.96 = 682.18/x
  3. Step 3: Cross multiply
    878.90x = 1,315.96 × 682.18
  4. Step 4: Simplify right side
    878.90x = 897,726.81
  5. Step 5: Solve for x
    x = 897,726.81/878.90
  6. Step 6: Final answer
    x = 1,021.42

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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.