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Finding the Fourth Proportional to 1,364.75, 2,047.19 and 820.43

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Solution

The fourth proportional to 1,364.75, 2,047.19 and 820.43 is: 1,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.75 : 2,047.19 = 820.43 : x
  2. Step 2: Convert to fraction form
    1,364.75/2,047.19 = 820.43/x
  3. Step 3: Cross multiply
    1,364.75x = 2,047.19 × 820.43
  4. Step 4: Simplify right side
    1,364.75x = 1,679,561.75
  5. Step 5: Solve for x
    x = 1,679,561.75/1,364.75
  6. Step 6: Final answer
    x = 1,230.68

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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.