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Finding the Fourth Proportional to 783.46, 1,175.19 and 206.33

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Solution

The fourth proportional to 783.46, 1,175.19 and 206.33 is: 309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.46 : 1,175.19 = 206.33 : x
  2. Step 2: Convert to fraction form
    783.46/1,175.19 = 206.33/x
  3. Step 3: Cross multiply
    783.46x = 1,175.19 × 206.33
  4. Step 4: Simplify right side
    783.46x = 242,476.95
  5. Step 5: Solve for x
    x = 242,476.95/783.46
  6. Step 6: Final answer
    x = 309.50

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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.