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Finding the Fourth Proportional to 1,238.73, 1,858.08 and 498.67

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Solution

The fourth proportional to 1,238.73, 1,858.08 and 498.67 is: 748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.73 : 1,858.08 = 498.67 : x
  2. Step 2: Convert to fraction form
    1,238.73/1,858.08 = 498.67/x
  3. Step 3: Cross multiply
    1,238.73x = 1,858.08 × 498.67
  4. Step 4: Simplify right side
    1,238.73x = 926,568.75
  5. Step 5: Solve for x
    x = 926,568.75/1,238.73
  6. Step 6: Final answer
    x = 748.00

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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.