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Finding the Fourth Proportional to 1,205.70, 1,806.54 and 1,160.76

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Solution

The fourth proportional to 1,205.70, 1,806.54 and 1,160.76 is: 1,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.70 : 1,806.54 = 1,160.76 : x
  2. Step 2: Convert to fraction form
    1,205.70/1,806.54 = 1,160.76/x
  3. Step 3: Cross multiply
    1,205.70x = 1,806.54 × 1,160.76
  4. Step 4: Simplify right side
    1,205.70x = 2,096,959.37
  5. Step 5: Solve for x
    x = 2,096,959.37/1,205.70
  6. Step 6: Final answer
    x = 1,739.20

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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.