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Finding the Fourth Proportional to 2,380.51, 3,570.49 and 649.27

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Solution

The fourth proportional to 2,380.51, 3,570.49 and 649.27 is: 973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.51 : 3,570.49 = 649.27 : x
  2. Step 2: Convert to fraction form
    2,380.51/3,570.49 = 649.27/x
  3. Step 3: Cross multiply
    2,380.51x = 3,570.49 × 649.27
  4. Step 4: Simplify right side
    2,380.51x = 2,318,212.04
  5. Step 5: Solve for x
    x = 2,318,212.04/2,380.51
  6. Step 6: Final answer
    x = 973.83

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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.