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Finding the Fourth Proportional to 2,229.45, 3,343.75 and 648.35

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Solution

The fourth proportional to 2,229.45, 3,343.75 and 648.35 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.45 : 3,343.75 = 648.35 : x
  2. Step 2: Convert to fraction form
    2,229.45/3,343.75 = 648.35/x
  3. Step 3: Cross multiply
    2,229.45x = 3,343.75 × 648.35
  4. Step 4: Simplify right side
    2,229.45x = 2,167,917.07
  5. Step 5: Solve for x
    x = 2,167,917.07/2,229.45
  6. Step 6: Final answer
    x = 972.40

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1.5x scale

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.