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Finding the Fourth Proportional to 1,123.14, 1,684.91 and 343.21

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Solution

The fourth proportional to 1,123.14, 1,684.91 and 343.21 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.14 : 1,684.91 = 343.21 : x
  2. Step 2: Convert to fraction form
    1,123.14/1,684.91 = 343.21/x
  3. Step 3: Cross multiply
    1,123.14x = 1,684.91 × 343.21
  4. Step 4: Simplify right side
    1,123.14x = 578,274.61
  5. Step 5: Solve for x
    x = 578,274.61/1,123.14
  6. Step 6: Final answer
    x = 514.87

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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.