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Finding the Fourth Proportional to 1,211.79, 1,816.77 and 820.68

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Solution

The fourth proportional to 1,211.79, 1,816.77 and 820.68 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.79 : 1,816.77 = 820.68 : x
  2. Step 2: Convert to fraction form
    1,211.79/1,816.77 = 820.68/x
  3. Step 3: Cross multiply
    1,211.79x = 1,816.77 × 820.68
  4. Step 4: Simplify right side
    1,211.79x = 1,490,986.80
  5. Step 5: Solve for x
    x = 1,490,986.80/1,211.79
  6. Step 6: Final answer
    x = 1,230.40

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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.