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Finding the Fourth Proportional to 1,369.24, 1,889.47 and 809.73

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Solution

The fourth proportional to 1,369.24, 1,889.47 and 809.73 is: 1,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.24 : 1,889.47 = 809.73 : x
  2. Step 2: Convert to fraction form
    1,369.24/1,889.47 = 809.73/x
  3. Step 3: Cross multiply
    1,369.24x = 1,889.47 × 809.73
  4. Step 4: Simplify right side
    1,369.24x = 1,529,960.54
  5. Step 5: Solve for x
    x = 1,529,960.54/1,369.24
  6. Step 6: Final answer
    x = 1,117.38

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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.