Home / 1,149.20-1,585.58-776.84

Finding the Fourth Proportional to 1,149.20, 1,585.58 and 776.84

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Solution

The fourth proportional to 1,149.20, 1,585.58 and 776.84 is: 1,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.20 : 1,585.58 = 776.84 : x
  2. Step 2: Convert to fraction form
    1,149.20/1,585.58 = 776.84/x
  3. Step 3: Cross multiply
    1,149.20x = 1,585.58 × 776.84
  4. Step 4: Simplify right side
    1,149.20x = 1,231,741.97
  5. Step 5: Solve for x
    x = 1,231,741.97/1,149.20
  6. Step 6: Final answer
    x = 1,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.