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Finding the Fourth Proportional to 1,536.81, 2,305.21 and 382.56

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Solution

The fourth proportional to 1,536.81, 2,305.21 and 382.56 is: 573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.81 : 2,305.21 = 382.56 : x
  2. Step 2: Convert to fraction form
    1,536.81/2,305.21 = 382.56/x
  3. Step 3: Cross multiply
    1,536.81x = 2,305.21 × 382.56
  4. Step 4: Simplify right side
    1,536.81x = 881,881.14
  5. Step 5: Solve for x
    x = 881,881.14/1,536.81
  6. Step 6: Final answer
    x = 573.84

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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.