Home / 1,024.11-1,404.09-1,005.68

Finding the Fourth Proportional to 1,024.11, 1,404.09 and 1,005.68

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Solution

The fourth proportional to 1,024.11, 1,404.09 and 1,005.68 is: 1,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.11 : 1,404.09 = 1,005.68 : x
  2. Step 2: Convert to fraction form
    1,024.11/1,404.09 = 1,005.68/x
  3. Step 3: Cross multiply
    1,024.11x = 1,404.09 × 1,005.68
  4. Step 4: Simplify right side
    1,024.11x = 1,412,065.23
  5. Step 5: Solve for x
    x = 1,412,065.23/1,024.11
  6. Step 6: Final answer
    x = 1,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.