Home / 1,518.13-2,272.96-776.14

Finding the Fourth Proportional to 1,518.13, 2,272.96 and 776.14

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Solution

The fourth proportional to 1,518.13, 2,272.96 and 776.14 is: 1,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.13 : 2,272.96 = 776.14 : x
  2. Step 2: Convert to fraction form
    1,518.13/2,272.96 = 776.14/x
  3. Step 3: Cross multiply
    1,518.13x = 2,272.96 × 776.14
  4. Step 4: Simplify right side
    1,518.13x = 1,764,135.17
  5. Step 5: Solve for x
    x = 1,764,135.17/1,518.13
  6. Step 6: Final answer
    x = 1,162.04

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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.