Home / 1,707.30-2,560.61-829.80

Finding the Fourth Proportional to 1,707.30, 2,560.61 and 829.80

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Solution

The fourth proportional to 1,707.30, 2,560.61 and 829.80 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.30 : 2,560.61 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,707.30/2,560.61 = 829.80/x
  3. Step 3: Cross multiply
    1,707.30x = 2,560.61 × 829.80
  4. Step 4: Simplify right side
    1,707.30x = 2,124,796.25
  5. Step 5: Solve for x
    x = 2,124,796.25/1,707.30
  6. Step 6: Final answer
    x = 1,244.54

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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.