Home / 1,029.35-1,544.27-298.94

Finding the Fourth Proportional to 1,029.35, 1,544.27 and 298.94

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Solution

The fourth proportional to 1,029.35, 1,544.27 and 298.94 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.35 : 1,544.27 = 298.94 : x
  2. Step 2: Convert to fraction form
    1,029.35/1,544.27 = 298.94/x
  3. Step 3: Cross multiply
    1,029.35x = 1,544.27 × 298.94
  4. Step 4: Simplify right side
    1,029.35x = 461,644.07
  5. Step 5: Solve for x
    x = 461,644.07/1,029.35
  6. Step 6: Final answer
    x = 448.48

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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.