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Finding the Fourth Proportional to 1,380.33, 2,069.78 and 513.93

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Solution

The fourth proportional to 1,380.33, 2,069.78 and 513.93 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.33 : 2,069.78 = 513.93 : x
  2. Step 2: Convert to fraction form
    1,380.33/2,069.78 = 513.93/x
  3. Step 3: Cross multiply
    1,380.33x = 2,069.78 × 513.93
  4. Step 4: Simplify right side
    1,380.33x = 1,063,719.47
  5. Step 5: Solve for x
    x = 1,063,719.47/1,380.33
  6. Step 6: Final answer
    x = 770.63

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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.