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Finding the Fourth Proportional to 1,267.05, 1,747.93 and 794.71

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Solution

The fourth proportional to 1,267.05, 1,747.93 and 794.71 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.05 : 1,747.93 = 794.71 : x
  2. Step 2: Convert to fraction form
    1,267.05/1,747.93 = 794.71/x
  3. Step 3: Cross multiply
    1,267.05x = 1,747.93 × 794.71
  4. Step 4: Simplify right side
    1,267.05x = 1,389,093.48
  5. Step 5: Solve for x
    x = 1,389,093.48/1,267.05
  6. Step 6: Final answer
    x = 1,096.32

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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.