Home / 1,214.98-1,822.40-668.24

Finding the Fourth Proportional to 1,214.98, 1,822.40 and 668.24

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Solution

The fourth proportional to 1,214.98, 1,822.40 and 668.24 is: 1,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.98 : 1,822.40 = 668.24 : x
  2. Step 2: Convert to fraction form
    1,214.98/1,822.40 = 668.24/x
  3. Step 3: Cross multiply
    1,214.98x = 1,822.40 × 668.24
  4. Step 4: Simplify right side
    1,214.98x = 1,217,800.58
  5. Step 5: Solve for x
    x = 1,217,800.58/1,214.98
  6. Step 6: Final answer
    x = 1,002.32

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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.