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Finding the Fourth Proportional to 1,069.63, 1,604.44 and 385.63

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Solution

The fourth proportional to 1,069.63, 1,604.44 and 385.63 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.63 : 1,604.44 = 385.63 : x
  2. Step 2: Convert to fraction form
    1,069.63/1,604.44 = 385.63/x
  3. Step 3: Cross multiply
    1,069.63x = 1,604.44 × 385.63
  4. Step 4: Simplify right side
    1,069.63x = 618,711.21
  5. Step 5: Solve for x
    x = 618,711.21/1,069.63
  6. Step 6: Final answer
    x = 578.44

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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.