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Finding the Fourth Proportional to 1,123.99, 1,686.19 and 343.98

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Solution

The fourth proportional to 1,123.99, 1,686.19 and 343.98 is: 516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.99 : 1,686.19 = 343.98 : x
  2. Step 2: Convert to fraction form
    1,123.99/1,686.19 = 343.98/x
  3. Step 3: Cross multiply
    1,123.99x = 1,686.19 × 343.98
  4. Step 4: Simplify right side
    1,123.99x = 580,008.02
  5. Step 5: Solve for x
    x = 580,008.02/1,123.99
  6. Step 6: Final answer
    x = 516.03

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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.