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Finding the Fourth Proportional to 1,257.94, 1,736.13 and 733.99

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Solution

The fourth proportional to 1,257.94, 1,736.13 and 733.99 is: 1,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.94 : 1,736.13 = 733.99 : x
  2. Step 2: Convert to fraction form
    1,257.94/1,736.13 = 733.99/x
  3. Step 3: Cross multiply
    1,257.94x = 1,736.13 × 733.99
  4. Step 4: Simplify right side
    1,257.94x = 1,274,302.06
  5. Step 5: Solve for x
    x = 1,274,302.06/1,257.94
  6. Step 6: Final answer
    x = 1,013.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.