Home / 1,546.26-2,317.95-765.78

Finding the Fourth Proportional to 1,546.26, 2,317.95 and 765.78

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Solution

The fourth proportional to 1,546.26, 2,317.95 and 765.78 is: 1,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.26 : 2,317.95 = 765.78 : x
  2. Step 2: Convert to fraction form
    1,546.26/2,317.95 = 765.78/x
  3. Step 3: Cross multiply
    1,546.26x = 2,317.95 × 765.78
  4. Step 4: Simplify right side
    1,546.26x = 1,775,039.75
  5. Step 5: Solve for x
    x = 1,775,039.75/1,546.26
  6. Step 6: Final answer
    x = 1,147.96

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1.5x scale

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.