Home / 1,023.23-1,415.75-892.49

Finding the Fourth Proportional to 1,023.23, 1,415.75 and 892.49

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Solution

The fourth proportional to 1,023.23, 1,415.75 and 892.49 is: 1,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.23 : 1,415.75 = 892.49 : x
  2. Step 2: Convert to fraction form
    1,023.23/1,415.75 = 892.49/x
  3. Step 3: Cross multiply
    1,023.23x = 1,415.75 × 892.49
  4. Step 4: Simplify right side
    1,023.23x = 1,263,531.18
  5. Step 5: Solve for x
    x = 1,263,531.18/1,023.23
  6. Step 6: Final answer
    x = 1,234.84

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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.