Home / 1,146.93-1,719.68-780.60

Finding the Fourth Proportional to 1,146.93, 1,719.68 and 780.60

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Solution

The fourth proportional to 1,146.93, 1,719.68 and 780.60 is: 1,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.93 : 1,719.68 = 780.60 : x
  2. Step 2: Convert to fraction form
    1,146.93/1,719.68 = 780.60/x
  3. Step 3: Cross multiply
    1,146.93x = 1,719.68 × 780.60
  4. Step 4: Simplify right side
    1,146.93x = 1,342,378.31
  5. Step 5: Solve for x
    x = 1,342,378.31/1,146.93
  6. Step 6: Final answer
    x = 1,170.41

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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.