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Finding the Fourth Proportional to 783.35, 1,174.97 and 206.21

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Solution

The fourth proportional to 783.35, 1,174.97 and 206.21 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.35 : 1,174.97 = 206.21 : x
  2. Step 2: Convert to fraction form
    783.35/1,174.97 = 206.21/x
  3. Step 3: Cross multiply
    783.35x = 1,174.97 × 206.21
  4. Step 4: Simplify right side
    783.35x = 242,289.53
  5. Step 5: Solve for x
    x = 242,289.53/783.35
  6. Step 6: Final answer
    x = 309.30

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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.