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Finding the Fourth Proportional to 783.21, 1,174.79 and 206.09

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Solution

The fourth proportional to 783.21, 1,174.79 and 206.09 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.21 : 1,174.79 = 206.09 : x
  2. Step 2: Convert to fraction form
    783.21/1,174.79 = 206.09/x
  3. Step 3: Cross multiply
    783.21x = 1,174.79 × 206.09
  4. Step 4: Simplify right side
    783.21x = 242,105.57
  5. Step 5: Solve for x
    x = 242,105.57/783.21
  6. Step 6: Final answer
    x = 309.12

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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.