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Finding the Fourth Proportional to 1,238.46, 1,856.82 and 458.08

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Solution

The fourth proportional to 1,238.46, 1,856.82 and 458.08 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.46 : 1,856.82 = 458.08 : x
  2. Step 2: Convert to fraction form
    1,238.46/1,856.82 = 458.08/x
  3. Step 3: Cross multiply
    1,238.46x = 1,856.82 × 458.08
  4. Step 4: Simplify right side
    1,238.46x = 850,572.11
  5. Step 5: Solve for x
    x = 850,572.11/1,238.46
  6. Step 6: Final answer
    x = 686.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.