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Finding the Fourth Proportional to 1,205.70, 1,661.94 and 812.04

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Solution

The fourth proportional to 1,205.70, 1,661.94 and 812.04 is: 1,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.70 : 1,661.94 = 812.04 : x
  2. Step 2: Convert to fraction form
    1,205.70/1,661.94 = 812.04/x
  3. Step 3: Cross multiply
    1,205.70x = 1,661.94 × 812.04
  4. Step 4: Simplify right side
    1,205.70x = 1,349,561.76
  5. Step 5: Solve for x
    x = 1,349,561.76/1,205.70
  6. Step 6: Final answer
    x = 1,119.32

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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.