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Finding the Fourth Proportional to 1,238.47, 1,857.74 and 361.04

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Solution

The fourth proportional to 1,238.47, 1,857.74 and 361.04 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.47 : 1,857.74 = 361.04 : x
  2. Step 2: Convert to fraction form
    1,238.47/1,857.74 = 361.04/x
  3. Step 3: Cross multiply
    1,238.47x = 1,857.74 × 361.04
  4. Step 4: Simplify right side
    1,238.47x = 670,717.81
  5. Step 5: Solve for x
    x = 670,717.81/1,238.47
  6. Step 6: Final answer
    x = 541.57

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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.