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Finding the Fourth Proportional to 2,208.63, 3,313.50 and 648.57

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Solution

The fourth proportional to 2,208.63, 3,313.50 and 648.57 is: 973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.63 : 3,313.50 = 648.57 : x
  2. Step 2: Convert to fraction form
    2,208.63/3,313.50 = 648.57/x
  3. Step 3: Cross multiply
    2,208.63x = 3,313.50 × 648.57
  4. Step 4: Simplify right side
    2,208.63x = 2,149,036.70
  5. Step 5: Solve for x
    x = 2,149,036.70/2,208.63
  6. Step 6: Final answer
    x = 973.02

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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.