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Finding the Fourth Proportional to 849, 1,273.38 and 386.76

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Solution

The fourth proportional to 849, 1,273.38 and 386.76 is: 580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    849 : 1,273.38 = 386.76 : x
  2. Step 2: Convert to fraction form
    849/1,273.38 = 386.76/x
  3. Step 3: Cross multiply
    849x = 1,273.38 × 386.76
  4. Step 4: Simplify right side
    849x = 492,492.45
  5. Step 5: Solve for x
    x = 492,492.45/849
  6. Step 6: Final answer
    x = 580.09

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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.