Home / 1,214.13-1,821.59-434.12

Finding the Fourth Proportional to 1,214.13, 1,821.59 and 434.12

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Solution

The fourth proportional to 1,214.13, 1,821.59 and 434.12 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.13 : 1,821.59 = 434.12 : x
  2. Step 2: Convert to fraction form
    1,214.13/1,821.59 = 434.12/x
  3. Step 3: Cross multiply
    1,214.13x = 1,821.59 × 434.12
  4. Step 4: Simplify right side
    1,214.13x = 790,777.37
  5. Step 5: Solve for x
    x = 790,777.37/1,214.13
  6. Step 6: Final answer
    x = 651.31

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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.