Home / 1,214.92-1,821.93-392.98

Finding the Fourth Proportional to 1,214.92, 1,821.93 and 392.98

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Solution

The fourth proportional to 1,214.92, 1,821.93 and 392.98 is: 589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.92 : 1,821.93 = 392.98 : x
  2. Step 2: Convert to fraction form
    1,214.92/1,821.93 = 392.98/x
  3. Step 3: Cross multiply
    1,214.92x = 1,821.93 × 392.98
  4. Step 4: Simplify right side
    1,214.92x = 715,982.05
  5. Step 5: Solve for x
    x = 715,982.05/1,214.92
  6. Step 6: Final answer
    x = 589.32

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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.