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Finding the Fourth Proportional to 1,069.19, 1,603.78 and 299.69

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Solution

The fourth proportional to 1,069.19, 1,603.78 and 299.69 is: 449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.19 : 1,603.78 = 299.69 : x
  2. Step 2: Convert to fraction form
    1,069.19/1,603.78 = 299.69/x
  3. Step 3: Cross multiply
    1,069.19x = 1,603.78 × 299.69
  4. Step 4: Simplify right side
    1,069.19x = 480,636.83
  5. Step 5: Solve for x
    x = 480,636.83/1,069.19
  6. Step 6: Final answer
    x = 449.53

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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.