Home / 1,024.11-1,412.37-814.05

Finding the Fourth Proportional to 1,024.11, 1,412.37 and 814.05

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Solution

The fourth proportional to 1,024.11, 1,412.37 and 814.05 is: 1,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.11 : 1,412.37 = 814.05 : x
  2. Step 2: Convert to fraction form
    1,024.11/1,412.37 = 814.05/x
  3. Step 3: Cross multiply
    1,024.11x = 1,412.37 × 814.05
  4. Step 4: Simplify right side
    1,024.11x = 1,149,739.80
  5. Step 5: Solve for x
    x = 1,149,739.80/1,024.11
  6. Step 6: Final answer
    x = 1,122.67

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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.