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Finding the Fourth Proportional to 2,297.10, 3,445.68 and 653.69

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Solution

The fourth proportional to 2,297.10, 3,445.68 and 653.69 is: 980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.10 : 3,445.68 = 653.69 : x
  2. Step 2: Convert to fraction form
    2,297.10/3,445.68 = 653.69/x
  3. Step 3: Cross multiply
    2,297.10x = 3,445.68 × 653.69
  4. Step 4: Simplify right side
    2,297.10x = 2,252,391.78
  5. Step 5: Solve for x
    x = 2,252,391.78/2,297.10
  6. Step 6: Final answer
    x = 980.54

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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.