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Finding the Fourth Proportional to 1,213.66, 1,678.36 and 1,191.80

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Solution

The fourth proportional to 1,213.66, 1,678.36 and 1,191.80 is: 1,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.66 : 1,678.36 = 1,191.80 : x
  2. Step 2: Convert to fraction form
    1,213.66/1,678.36 = 1,191.80/x
  3. Step 3: Cross multiply
    1,213.66x = 1,678.36 × 1,191.80
  4. Step 4: Simplify right side
    1,213.66x = 2,000,269.45
  5. Step 5: Solve for x
    x = 2,000,269.45/1,213.66
  6. Step 6: Final answer
    x = 1,648.13

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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.