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Finding the Fourth Proportional to 1,194.34, 1,649.04 and 774.94

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Solution

The fourth proportional to 1,194.34, 1,649.04 and 774.94 is: 1,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.34 : 1,649.04 = 774.94 : x
  2. Step 2: Convert to fraction form
    1,194.34/1,649.04 = 774.94/x
  3. Step 3: Cross multiply
    1,194.34x = 1,649.04 × 774.94
  4. Step 4: Simplify right side
    1,194.34x = 1,277,907.06
  5. Step 5: Solve for x
    x = 1,277,907.06/1,194.34
  6. Step 6: Final answer
    x = 1,069.97

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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.