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Finding the Fourth Proportional to 1,219.09, 1,827.01 and 699.25

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Solution

The fourth proportional to 1,219.09, 1,827.01 and 699.25 is: 1,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.09 : 1,827.01 = 699.25 : x
  2. Step 2: Convert to fraction form
    1,219.09/1,827.01 = 699.25/x
  3. Step 3: Cross multiply
    1,219.09x = 1,827.01 × 699.25
  4. Step 4: Simplify right side
    1,219.09x = 1,277,536.74
  5. Step 5: Solve for x
    x = 1,277,536.74/1,219.09
  6. Step 6: Final answer
    x = 1,047.94

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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.