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Finding the Fourth Proportional to 1,069.21, 1,603.86 and 338.79

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Solution

The fourth proportional to 1,069.21, 1,603.86 and 338.79 is: 508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.21 : 1,603.86 = 338.79 : x
  2. Step 2: Convert to fraction form
    1,069.21/1,603.86 = 338.79/x
  3. Step 3: Cross multiply
    1,069.21x = 1,603.86 × 338.79
  4. Step 4: Simplify right side
    1,069.21x = 543,371.73
  5. Step 5: Solve for x
    x = 543,371.73/1,069.21
  6. Step 6: Final answer
    x = 508.20

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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.