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Finding the Fourth Proportional to 1,123.99, 1,686.07 and 344.06

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Solution

The fourth proportional to 1,123.99, 1,686.07 and 344.06 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.99 : 1,686.07 = 344.06 : x
  2. Step 2: Convert to fraction form
    1,123.99/1,686.07 = 344.06/x
  3. Step 3: Cross multiply
    1,123.99x = 1,686.07 × 344.06
  4. Step 4: Simplify right side
    1,123.99x = 580,109.24
  5. Step 5: Solve for x
    x = 580,109.24/1,123.99
  6. Step 6: Final answer
    x = 516.12

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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.