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Finding the Fourth Proportional to 1,238, 1,856.28 and 415.82

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Solution

The fourth proportional to 1,238, 1,856.28 and 415.82 is: 623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238 : 1,856.28 = 415.82 : x
  2. Step 2: Convert to fraction form
    1,238/1,856.28 = 415.82/x
  3. Step 3: Cross multiply
    1,238x = 1,856.28 × 415.82
  4. Step 4: Simplify right side
    1,238x = 771,878.35
  5. Step 5: Solve for x
    x = 771,878.35/1,238
  6. Step 6: Final answer
    x = 623.49

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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.