Home / 1,213.94-1,821.23-434.02

Finding the Fourth Proportional to 1,213.94, 1,821.23 and 434.02

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Solution

The fourth proportional to 1,213.94, 1,821.23 and 434.02 is: 651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.94 : 1,821.23 = 434.02 : x
  2. Step 2: Convert to fraction form
    1,213.94/1,821.23 = 434.02/x
  3. Step 3: Cross multiply
    1,213.94x = 1,821.23 × 434.02
  4. Step 4: Simplify right side
    1,213.94x = 790,442.22
  5. Step 5: Solve for x
    x = 790,442.22/1,213.94
  6. Step 6: Final answer
    x = 651.14

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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.