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Finding the Fourth Proportional to 1,243.80, 1,701.06 and 1,211.40

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Solution

The fourth proportional to 1,243.80, 1,701.06 and 1,211.40 is: 1,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.80 : 1,701.06 = 1,211.40 : x
  2. Step 2: Convert to fraction form
    1,243.80/1,701.06 = 1,211.40/x
  3. Step 3: Cross multiply
    1,243.80x = 1,701.06 × 1,211.40
  4. Step 4: Simplify right side
    1,243.80x = 2,060,664.08
  5. Step 5: Solve for x
    x = 2,060,664.08/1,243.80
  6. Step 6: Final answer
    x = 1,656.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.