Home / 1,213.46-1,822.53-1,077.68

Finding the Fourth Proportional to 1,213.46, 1,822.53 and 1,077.68

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Solution

The fourth proportional to 1,213.46, 1,822.53 and 1,077.68 is: 1,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.46 : 1,822.53 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    1,213.46/1,822.53 = 1,077.68/x
  3. Step 3: Cross multiply
    1,213.46x = 1,822.53 × 1,077.68
  4. Step 4: Simplify right side
    1,213.46x = 1,964,104.13
  5. Step 5: Solve for x
    x = 1,964,104.13/1,213.46
  6. Step 6: Final answer
    x = 1,618.60

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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.