Home / 1,746.07-2,618.70-820.75

Finding the Fourth Proportional to 1,746.07, 2,618.70 and 820.75

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Solution

The fourth proportional to 1,746.07, 2,618.70 and 820.75 is: 1,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.07 : 2,618.70 = 820.75 : x
  2. Step 2: Convert to fraction form
    1,746.07/2,618.70 = 820.75/x
  3. Step 3: Cross multiply
    1,746.07x = 2,618.70 × 820.75
  4. Step 4: Simplify right side
    1,746.07x = 2,149,298.03
  5. Step 5: Solve for x
    x = 2,149,298.03/1,746.07
  6. Step 6: Final answer
    x = 1,230.93

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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.