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Finding the Fourth Proportional to 2,380.43, 3,570.26 and 648.65

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Solution

The fourth proportional to 2,380.43, 3,570.26 and 648.65 is: 972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.43 : 3,570.26 = 648.65 : x
  2. Step 2: Convert to fraction form
    2,380.43/3,570.26 = 648.65/x
  3. Step 3: Cross multiply
    2,380.43x = 3,570.26 × 648.65
  4. Step 4: Simplify right side
    2,380.43x = 2,315,828.05
  5. Step 5: Solve for x
    x = 2,315,828.05/2,380.43
  6. Step 6: Final answer
    x = 972.86

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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.