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Finding the Fourth Proportional to 1,236.93, 1,855.33 and 312.49

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Solution

The fourth proportional to 1,236.93, 1,855.33 and 312.49 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.93 : 1,855.33 = 312.49 : x
  2. Step 2: Convert to fraction form
    1,236.93/1,855.33 = 312.49/x
  3. Step 3: Cross multiply
    1,236.93x = 1,855.33 × 312.49
  4. Step 4: Simplify right side
    1,236.93x = 579,772.07
  5. Step 5: Solve for x
    x = 579,772.07/1,236.93
  6. Step 6: Final answer
    x = 468.72

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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.