Home / 1,707.35-2,561.79-829.37

Finding the Fourth Proportional to 1,707.35, 2,561.79 and 829.37

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Solution

The fourth proportional to 1,707.35, 2,561.79 and 829.37 is: 1,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.35 : 2,561.79 = 829.37 : x
  2. Step 2: Convert to fraction form
    1,707.35/2,561.79 = 829.37/x
  3. Step 3: Cross multiply
    1,707.35x = 2,561.79 × 829.37
  4. Step 4: Simplify right side
    1,707.35x = 2,124,671.77
  5. Step 5: Solve for x
    x = 2,124,671.77/1,707.35
  6. Step 6: Final answer
    x = 1,244.43

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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.