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Finding the Fourth Proportional to 1,369.13, 1,889.60 and 809.42

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Solution

The fourth proportional to 1,369.13, 1,889.60 and 809.42 is: 1,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.13 : 1,889.60 = 809.42 : x
  2. Step 2: Convert to fraction form
    1,369.13/1,889.60 = 809.42/x
  3. Step 3: Cross multiply
    1,369.13x = 1,889.60 × 809.42
  4. Step 4: Simplify right side
    1,369.13x = 1,529,466.54
  5. Step 5: Solve for x
    x = 1,529,466.54/1,369.13
  6. Step 6: Final answer
    x = 1,117.11

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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.