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Finding the Fourth Proportional to 1,238.15, 1,857.36 and 458.00

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Solution

The fourth proportional to 1,238.15, 1,857.36 and 458.00 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.15 : 1,857.36 = 458.00 : x
  2. Step 2: Convert to fraction form
    1,238.15/1,857.36 = 458.00/x
  3. Step 3: Cross multiply
    1,238.15x = 1,857.36 × 458.00
  4. Step 4: Simplify right side
    1,238.15x = 850,661.59
  5. Step 5: Solve for x
    x = 850,661.59/1,238.15
  6. Step 6: Final answer
    x = 687.05

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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.