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Finding the Fourth Proportional to 1,196.94, 1,795.77 and 427.50

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Solution

The fourth proportional to 1,196.94, 1,795.77 and 427.50 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.94 : 1,795.77 = 427.50 : x
  2. Step 2: Convert to fraction form
    1,196.94/1,795.77 = 427.50/x
  3. Step 3: Cross multiply
    1,196.94x = 1,795.77 × 427.50
  4. Step 4: Simplify right side
    1,196.94x = 767,691.68
  5. Step 5: Solve for x
    x = 767,691.68/1,196.94
  6. Step 6: Final answer
    x = 641.38

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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.