Home / 1,238.08-1,857.40-416.31

Finding the Fourth Proportional to 1,238.08, 1,857.40 and 416.31

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Solution

The fourth proportional to 1,238.08, 1,857.40 and 416.31 is: 624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.08 : 1,857.40 = 416.31 : x
  2. Step 2: Convert to fraction form
    1,238.08/1,857.40 = 416.31/x
  3. Step 3: Cross multiply
    1,238.08x = 1,857.40 × 416.31
  4. Step 4: Simplify right side
    1,238.08x = 773,252.11
  5. Step 5: Solve for x
    x = 773,252.11/1,238.08
  6. Step 6: Final answer
    x = 624.56

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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.