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Finding the Fourth Proportional to 881.87, 1,316.46 and 817.78

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Solution

The fourth proportional to 881.87, 1,316.46 and 817.78 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,316.46 = 817.78 : x
  2. Step 2: Convert to fraction form
    881.87/1,316.46 = 817.78/x
  3. Step 3: Cross multiply
    881.87x = 1,316.46 × 817.78
  4. Step 4: Simplify right side
    881.87x = 1,076,571.37
  5. Step 5: Solve for x
    x = 1,076,571.37/881.87
  6. Step 6: Final answer
    x = 1,220.78

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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.