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Finding the Fourth Proportional to 2,380.83, 3,571.14 and 649.45

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Solution

The fourth proportional to 2,380.83, 3,571.14 and 649.45 is: 974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.83 : 3,571.14 = 649.45 : x
  2. Step 2: Convert to fraction form
    2,380.83/3,571.14 = 649.45/x
  3. Step 3: Cross multiply
    2,380.83x = 3,571.14 × 649.45
  4. Step 4: Simplify right side
    2,380.83x = 2,319,276.87
  5. Step 5: Solve for x
    x = 2,319,276.87/2,380.83
  6. Step 6: Final answer
    x = 974.15

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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.