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Finding the Fourth Proportional to 1,238.34, 1,856.92 and 458.14

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Solution

The fourth proportional to 1,238.34, 1,856.92 and 458.14 is: 686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.34 : 1,856.92 = 458.14 : x
  2. Step 2: Convert to fraction form
    1,238.34/1,856.92 = 458.14/x
  3. Step 3: Cross multiply
    1,238.34x = 1,856.92 × 458.14
  4. Step 4: Simplify right side
    1,238.34x = 850,729.33
  5. Step 5: Solve for x
    x = 850,729.33/1,238.34
  6. Step 6: Final answer
    x = 686.99

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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.