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Finding the Fourth Proportional to 1,069.78, 1,604.10 and 376.48

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Solution

The fourth proportional to 1,069.78, 1,604.10 and 376.48 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.78 : 1,604.10 = 376.48 : x
  2. Step 2: Convert to fraction form
    1,069.78/1,604.10 = 376.48/x
  3. Step 3: Cross multiply
    1,069.78x = 1,604.10 × 376.48
  4. Step 4: Simplify right side
    1,069.78x = 603,911.57
  5. Step 5: Solve for x
    x = 603,911.57/1,069.78
  6. Step 6: Final answer
    x = 564.52

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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.