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Finding the Fourth Proportional to 2,380.57, 3,570.95 and 649.19

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Solution

The fourth proportional to 2,380.57, 3,570.95 and 649.19 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.57 : 3,570.95 = 649.19 : x
  2. Step 2: Convert to fraction form
    2,380.57/3,570.95 = 649.19/x
  3. Step 3: Cross multiply
    2,380.57x = 3,570.95 × 649.19
  4. Step 4: Simplify right side
    2,380.57x = 2,318,225.03
  5. Step 5: Solve for x
    x = 2,318,225.03/2,380.57
  6. Step 6: Final answer
    x = 973.81

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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.