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Finding the Fourth Proportional to 1,231.70, 1,698.54 and 812.42

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Solution

The fourth proportional to 1,231.70, 1,698.54 and 812.42 is: 1,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.70 : 1,698.54 = 812.42 : x
  2. Step 2: Convert to fraction form
    1,231.70/1,698.54 = 812.42/x
  3. Step 3: Cross multiply
    1,231.70x = 1,698.54 × 812.42
  4. Step 4: Simplify right side
    1,231.70x = 1,379,927.87
  5. Step 5: Solve for x
    x = 1,379,927.87/1,231.70
  6. Step 6: Final answer
    x = 1,120.34

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1.5x scale

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.