Home / 1,214.39-1,821.83-392.87

Finding the Fourth Proportional to 1,214.39, 1,821.83 and 392.87

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Solution

The fourth proportional to 1,214.39, 1,821.83 and 392.87 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.39 : 1,821.83 = 392.87 : x
  2. Step 2: Convert to fraction form
    1,214.39/1,821.83 = 392.87/x
  3. Step 3: Cross multiply
    1,214.39x = 1,821.83 × 392.87
  4. Step 4: Simplify right side
    1,214.39x = 715,742.35
  5. Step 5: Solve for x
    x = 715,742.35/1,214.39
  6. Step 6: Final answer
    x = 589.38

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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.