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Finding the Fourth Proportional to 1,256.07, 1,734.25 and 1,122.89

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Solution

The fourth proportional to 1,256.07, 1,734.25 and 1,122.89 is: 1,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.07 : 1,734.25 = 1,122.89 : x
  2. Step 2: Convert to fraction form
    1,256.07/1,734.25 = 1,122.89/x
  3. Step 3: Cross multiply
    1,256.07x = 1,734.25 × 1,122.89
  4. Step 4: Simplify right side
    1,256.07x = 1,947,371.98
  5. Step 5: Solve for x
    x = 1,947,371.98/1,256.07
  6. Step 6: Final answer
    x = 1,550.37

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1.5x scale

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.