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Finding the Fourth Proportional to 1,238.40, 1,857.73 and 458.61

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Solution

The fourth proportional to 1,238.40, 1,857.73 and 458.61 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.40 : 1,857.73 = 458.61 : x
  2. Step 2: Convert to fraction form
    1,238.40/1,857.73 = 458.61/x
  3. Step 3: Cross multiply
    1,238.40x = 1,857.73 × 458.61
  4. Step 4: Simplify right side
    1,238.40x = 851,973.56
  5. Step 5: Solve for x
    x = 851,973.56/1,238.40
  6. Step 6: Final answer
    x = 687.96

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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.