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Finding the Fourth Proportional to 1,251.41, 1,725.89 and 897.39

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Solution

The fourth proportional to 1,251.41, 1,725.89 and 897.39 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.41 : 1,725.89 = 897.39 : x
  2. Step 2: Convert to fraction form
    1,251.41/1,725.89 = 897.39/x
  3. Step 3: Cross multiply
    1,251.41x = 1,725.89 × 897.39
  4. Step 4: Simplify right side
    1,251.41x = 1,548,791.94
  5. Step 5: Solve for x
    x = 1,548,791.94/1,251.41
  6. Step 6: Final answer
    x = 1,237.64

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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.