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Finding the Fourth Proportional to 1,238.63, 1,857.94 and 469.13

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Solution

The fourth proportional to 1,238.63, 1,857.94 and 469.13 is: 703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.63 : 1,857.94 = 469.13 : x
  2. Step 2: Convert to fraction form
    1,238.63/1,857.94 = 469.13/x
  3. Step 3: Cross multiply
    1,238.63x = 1,857.94 × 469.13
  4. Step 4: Simplify right side
    1,238.63x = 871,604.93
  5. Step 5: Solve for x
    x = 871,604.93/1,238.63
  6. Step 6: Final answer
    x = 703.69

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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.