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Finding the Fourth Proportional to 1,736.84, 2,604.98 and 812.31

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Solution

The fourth proportional to 1,736.84, 2,604.98 and 812.31 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.84 : 2,604.98 = 812.31 : x
  2. Step 2: Convert to fraction form
    1,736.84/2,604.98 = 812.31/x
  3. Step 3: Cross multiply
    1,736.84x = 2,604.98 × 812.31
  4. Step 4: Simplify right side
    1,736.84x = 2,116,053.33
  5. Step 5: Solve for x
    x = 2,116,053.33/1,736.84
  6. Step 6: Final answer
    x = 1,218.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.