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Finding the Fourth Proportional to 1,388.39, 2,083.65 and 511.73

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Solution

The fourth proportional to 1,388.39, 2,083.65 and 511.73 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.39 : 2,083.65 = 511.73 : x
  2. Step 2: Convert to fraction form
    1,388.39/2,083.65 = 511.73/x
  3. Step 3: Cross multiply
    1,388.39x = 2,083.65 × 511.73
  4. Step 4: Simplify right side
    1,388.39x = 1,066,266.21
  5. Step 5: Solve for x
    x = 1,066,266.21/1,388.39
  6. Step 6: Final answer
    x = 767.99

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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.