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Finding the Fourth Proportional to 2,209.04, 3,313.45 and 648.98

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Solution

The fourth proportional to 2,209.04, 3,313.45 and 648.98 is: 973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.04 : 3,313.45 = 648.98 : x
  2. Step 2: Convert to fraction form
    2,209.04/3,313.45 = 648.98/x
  3. Step 3: Cross multiply
    2,209.04x = 3,313.45 × 648.98
  4. Step 4: Simplify right side
    2,209.04x = 2,150,344.59
  5. Step 5: Solve for x
    x = 2,150,344.59/2,209.04
  6. Step 6: Final answer
    x = 973.43

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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.