Home / 1,052.27-1,578.40-321.85

Finding the Fourth Proportional to 1,052.27, 1,578.40 and 321.85

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Solution

The fourth proportional to 1,052.27, 1,578.40 and 321.85 is: 482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.27 : 1,578.40 = 321.85 : x
  2. Step 2: Convert to fraction form
    1,052.27/1,578.40 = 321.85/x
  3. Step 3: Cross multiply
    1,052.27x = 1,578.40 × 321.85
  4. Step 4: Simplify right side
    1,052.27x = 508,008.04
  5. Step 5: Solve for x
    x = 508,008.04/1,052.27
  6. Step 6: Final answer
    x = 482.77

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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.