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Finding the Fourth Proportional to 1,306.80, 1,804.23 and 865.30

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Solution

The fourth proportional to 1,306.80, 1,804.23 and 865.30 is: 1,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.80 : 1,804.23 = 865.30 : x
  2. Step 2: Convert to fraction form
    1,306.80/1,804.23 = 865.30/x
  3. Step 3: Cross multiply
    1,306.80x = 1,804.23 × 865.30
  4. Step 4: Simplify right side
    1,306.80x = 1,561,200.22
  5. Step 5: Solve for x
    x = 1,561,200.22/1,306.80
  6. Step 6: Final answer
    x = 1,194.67

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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.