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Finding the Fourth Proportional to 1,880.82, 2,819.34 and 648

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Solution

The fourth proportional to 1,880.82, 2,819.34 and 648 is: 971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.82 : 2,819.34 = 648 : x
  2. Step 2: Convert to fraction form
    1,880.82/2,819.34 = 648/x
  3. Step 3: Cross multiply
    1,880.82x = 2,819.34 × 648
  4. Step 4: Simplify right side
    1,880.82x = 1,826,932.32
  5. Step 5: Solve for x
    x = 1,826,932.32/1,880.82
  6. Step 6: Final answer
    x = 971.35

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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.