Home / 1,214.23-1,820.88-434.09

Finding the Fourth Proportional to 1,214.23, 1,820.88 and 434.09

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Solution

The fourth proportional to 1,214.23, 1,820.88 and 434.09 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.23 : 1,820.88 = 434.09 : x
  2. Step 2: Convert to fraction form
    1,214.23/1,820.88 = 434.09/x
  3. Step 3: Cross multiply
    1,214.23x = 1,820.88 × 434.09
  4. Step 4: Simplify right side
    1,214.23x = 790,416.69
  5. Step 5: Solve for x
    x = 790,416.69/1,214.23
  6. Step 6: Final answer
    x = 650.96

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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.