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Finding the Fourth Proportional to 648.19, 969.99 and 622.68

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Solution

The fourth proportional to 648.19, 969.99 and 622.68 is: 931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 969.99 = 622.68 : x
  2. Step 2: Convert to fraction form
    648.19/969.99 = 622.68/x
  3. Step 3: Cross multiply
    648.19x = 969.99 × 622.68
  4. Step 4: Simplify right side
    648.19x = 603,993.37
  5. Step 5: Solve for x
    x = 603,993.37/648.19
  6. Step 6: Final answer
    x = 931.82

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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.