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Finding the Fourth Proportional to 1,309.01, 1,806.44 and 811.67

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Solution

The fourth proportional to 1,309.01, 1,806.44 and 811.67 is: 1,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.01 : 1,806.44 = 811.67 : x
  2. Step 2: Convert to fraction form
    1,309.01/1,806.44 = 811.67/x
  3. Step 3: Cross multiply
    1,309.01x = 1,806.44 × 811.67
  4. Step 4: Simplify right side
    1,309.01x = 1,466,220.06
  5. Step 5: Solve for x
    x = 1,466,220.06/1,309.01
  6. Step 6: Final answer
    x = 1,120.10

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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.