Home / 1,029.27-1,544.13-298.91

Finding the Fourth Proportional to 1,029.27, 1,544.13 and 298.91

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Solution

The fourth proportional to 1,029.27, 1,544.13 and 298.91 is: 448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.27 : 1,544.13 = 298.91 : x
  2. Step 2: Convert to fraction form
    1,029.27/1,544.13 = 298.91/x
  3. Step 3: Cross multiply
    1,029.27x = 1,544.13 × 298.91
  4. Step 4: Simplify right side
    1,029.27x = 461,559.76
  5. Step 5: Solve for x
    x = 461,559.76/1,029.27
  6. Step 6: Final answer
    x = 448.43

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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.