Home / 1,214.13-1,821.54-556.44

Finding the Fourth Proportional to 1,214.13, 1,821.54 and 556.44

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Solution

The fourth proportional to 1,214.13, 1,821.54 and 556.44 is: 834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.13 : 1,821.54 = 556.44 : x
  2. Step 2: Convert to fraction form
    1,214.13/1,821.54 = 556.44/x
  3. Step 3: Cross multiply
    1,214.13x = 1,821.54 × 556.44
  4. Step 4: Simplify right side
    1,214.13x = 1,013,577.72
  5. Step 5: Solve for x
    x = 1,013,577.72/1,214.13
  6. Step 6: Final answer
    x = 834.82

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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.