Home / 1,214.50-1,821.89-392.74

Finding the Fourth Proportional to 1,214.50, 1,821.89 and 392.74

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Solution

The fourth proportional to 1,214.50, 1,821.89 and 392.74 is: 589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,821.89 = 392.74 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,821.89 = 392.74/x
  3. Step 3: Cross multiply
    1,214.50x = 1,821.89 × 392.74
  4. Step 4: Simplify right side
    1,214.50x = 715,527.11
  5. Step 5: Solve for x
    x = 715,527.11/1,214.50
  6. Step 6: Final answer
    x = 589.15

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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.