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Finding the Fourth Proportional to 1,243.53, 1,706.10 and 1,211.19

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Solution

The fourth proportional to 1,243.53, 1,706.10 and 1,211.19 is: 1,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.53 : 1,706.10 = 1,211.19 : x
  2. Step 2: Convert to fraction form
    1,243.53/1,706.10 = 1,211.19/x
  3. Step 3: Cross multiply
    1,243.53x = 1,706.10 × 1,211.19
  4. Step 4: Simplify right side
    1,243.53x = 2,066,411.26
  5. Step 5: Solve for x
    x = 2,066,411.26/1,243.53
  6. Step 6: Final answer
    x = 1,661.73

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1.5x scale

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.