Home / 1,214.25-1,821.37-392.57

Finding the Fourth Proportional to 1,214.25, 1,821.37 and 392.57

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Solution

The fourth proportional to 1,214.25, 1,821.37 and 392.57 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.25 : 1,821.37 = 392.57 : x
  2. Step 2: Convert to fraction form
    1,214.25/1,821.37 = 392.57/x
  3. Step 3: Cross multiply
    1,214.25x = 1,821.37 × 392.57
  4. Step 4: Simplify right side
    1,214.25x = 715,012.70
  5. Step 5: Solve for x
    x = 715,012.70/1,214.25
  6. Step 6: Final answer
    x = 588.85

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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.