Home / 1,214.90-1,821.96-392.98

Finding the Fourth Proportional to 1,214.90, 1,821.96 and 392.98

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Solution

The fourth proportional to 1,214.90, 1,821.96 and 392.98 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.90 : 1,821.96 = 392.98 : x
  2. Step 2: Convert to fraction form
    1,214.90/1,821.96 = 392.98/x
  3. Step 3: Cross multiply
    1,214.90x = 1,821.96 × 392.98
  4. Step 4: Simplify right side
    1,214.90x = 715,987.16
  5. Step 5: Solve for x
    x = 715,987.16/1,214.90
  6. Step 6: Final answer
    x = 589.34

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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.