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Finding the Fourth Proportional to 1,139.69, 1,709.79 and 349.11

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Solution

The fourth proportional to 1,139.69, 1,709.79 and 349.11 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.69 : 1,709.79 = 349.11 : x
  2. Step 2: Convert to fraction form
    1,139.69/1,709.79 = 349.11/x
  3. Step 3: Cross multiply
    1,139.69x = 1,709.79 × 349.11
  4. Step 4: Simplify right side
    1,139.69x = 596,903.04
  5. Step 5: Solve for x
    x = 596,903.04/1,139.69
  6. Step 6: Final answer
    x = 523.74

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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.