Home / 1,146.68-1,719.30-780.36

Finding the Fourth Proportional to 1,146.68, 1,719.30 and 780.36

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Solution

The fourth proportional to 1,146.68, 1,719.30 and 780.36 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.68 : 1,719.30 = 780.36 : x
  2. Step 2: Convert to fraction form
    1,146.68/1,719.30 = 780.36/x
  3. Step 3: Cross multiply
    1,146.68x = 1,719.30 × 780.36
  4. Step 4: Simplify right side
    1,146.68x = 1,341,672.95
  5. Step 5: Solve for x
    x = 1,341,672.95/1,146.68
  6. Step 6: Final answer
    x = 1,170.05

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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.