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Finding the Fourth Proportional to 1,271.27, 1,906.90 and 832.88

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Solution

The fourth proportional to 1,271.27, 1,906.90 and 832.88 is: 1,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.27 : 1,906.90 = 832.88 : x
  2. Step 2: Convert to fraction form
    1,271.27/1,906.90 = 832.88/x
  3. Step 3: Cross multiply
    1,271.27x = 1,906.90 × 832.88
  4. Step 4: Simplify right side
    1,271.27x = 1,588,223.12
  5. Step 5: Solve for x
    x = 1,588,223.12/1,271.27
  6. Step 6: Final answer
    x = 1,249.32

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1.5x scale

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.