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Finding the Fourth Proportional to 2,380.14, 3,570.07 and 648.63

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Solution

The fourth proportional to 2,380.14, 3,570.07 and 648.63 is: 972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.14 : 3,570.07 = 648.63 : x
  2. Step 2: Convert to fraction form
    2,380.14/3,570.07 = 648.63/x
  3. Step 3: Cross multiply
    2,380.14x = 3,570.07 × 648.63
  4. Step 4: Simplify right side
    2,380.14x = 2,315,635.03
  5. Step 5: Solve for x
    x = 2,315,635.03/2,380.14
  6. Step 6: Final answer
    x = 972.90

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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.