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Finding the Fourth Proportional to 1.71, 2.57 and 1.27

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Solution

The fourth proportional to 1.71, 2.57 and 1.27 is: 1.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.71 : 2.57 = 1.27 : x
  2. Step 2: Convert to fraction form
    1.71/2.57 = 1.27/x
  3. Step 3: Cross multiply
    1.71x = 2.57 × 1.27
  4. Step 4: Simplify right side
    1.71x = 3.26
  5. Step 5: Solve for x
    x = 3.26/1.71
  6. Step 6: Final answer
    x = 1.91

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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.