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Finding the Fourth Proportional to 1,238.36, 1,856.39 and 416.07

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Solution

The fourth proportional to 1,238.36, 1,856.39 and 416.07 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.36 : 1,856.39 = 416.07 : x
  2. Step 2: Convert to fraction form
    1,238.36/1,856.39 = 416.07/x
  3. Step 3: Cross multiply
    1,238.36x = 1,856.39 × 416.07
  4. Step 4: Simplify right side
    1,238.36x = 772,386.11
  5. Step 5: Solve for x
    x = 772,386.11/1,238.36
  6. Step 6: Final answer
    x = 623.72

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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.