Home / 1,029.75-1,421.80-929.97

Finding the Fourth Proportional to 1,029.75, 1,421.80 and 929.97

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Solution

The fourth proportional to 1,029.75, 1,421.80 and 929.97 is: 1,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.75 : 1,421.80 = 929.97 : x
  2. Step 2: Convert to fraction form
    1,029.75/1,421.80 = 929.97/x
  3. Step 3: Cross multiply
    1,029.75x = 1,421.80 × 929.97
  4. Step 4: Simplify right side
    1,029.75x = 1,322,231.35
  5. Step 5: Solve for x
    x = 1,322,231.35/1,029.75
  6. Step 6: Final answer
    x = 1,284.03

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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.