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Finding the Fourth Proportional to 889.08, 1,224.39 and 870

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Solution

The fourth proportional to 889.08, 1,224.39 and 870 is: 1,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.08 : 1,224.39 = 870 : x
  2. Step 2: Convert to fraction form
    889.08/1,224.39 = 870/x
  3. Step 3: Cross multiply
    889.08x = 1,224.39 × 870
  4. Step 4: Simplify right side
    889.08x = 1,065,219.30
  5. Step 5: Solve for x
    x = 1,065,219.30/889.08
  6. Step 6: Final answer
    x = 1,198.11

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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.