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Finding the Fourth Proportional to 2,223.40, 3,335.06 and 663.41

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Solution

The fourth proportional to 2,223.40, 3,335.06 and 663.41 is: 995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.40 : 3,335.06 = 663.41 : x
  2. Step 2: Convert to fraction form
    2,223.40/3,335.06 = 663.41/x
  3. Step 3: Cross multiply
    2,223.40x = 3,335.06 × 663.41
  4. Step 4: Simplify right side
    2,223.40x = 2,212,509.49
  5. Step 5: Solve for x
    x = 2,212,509.49/2,223.40
  6. Step 6: Final answer
    x = 995.10

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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.