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Finding the Fourth Proportional to 2,297.05, 3,445.57 and 653.61

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Solution

The fourth proportional to 2,297.05, 3,445.57 and 653.61 is: 980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.05 : 3,445.57 = 653.61 : x
  2. Step 2: Convert to fraction form
    2,297.05/3,445.57 = 653.61/x
  3. Step 3: Cross multiply
    2,297.05x = 3,445.57 × 653.61
  4. Step 4: Simplify right side
    2,297.05x = 2,252,059.01
  5. Step 5: Solve for x
    x = 2,252,059.01/2,297.05
  6. Step 6: Final answer
    x = 980.41

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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.