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Finding the Fourth Proportional to 1,123.22, 1,684.79 and 343.19

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Solution

The fourth proportional to 1,123.22, 1,684.79 and 343.19 is: 514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.22 : 1,684.79 = 343.19 : x
  2. Step 2: Convert to fraction form
    1,123.22/1,684.79 = 343.19/x
  3. Step 3: Cross multiply
    1,123.22x = 1,684.79 × 343.19
  4. Step 4: Simplify right side
    1,123.22x = 578,205.58
  5. Step 5: Solve for x
    x = 578,205.58/1,123.22
  6. Step 6: Final answer
    x = 514.77

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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.