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Finding the Fourth Proportional to 1,238.92, 1,857.88 and 372.92

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Solution

The fourth proportional to 1,238.92, 1,857.88 and 372.92 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.92 : 1,857.88 = 372.92 : x
  2. Step 2: Convert to fraction form
    1,238.92/1,857.88 = 372.92/x
  3. Step 3: Cross multiply
    1,238.92x = 1,857.88 × 372.92
  4. Step 4: Simplify right side
    1,238.92x = 692,840.61
  5. Step 5: Solve for x
    x = 692,840.61/1,238.92
  6. Step 6: Final answer
    x = 559.23

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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.