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Finding the Fourth Proportional to 1,227.05, 1,840.70 and 349.59

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Solution

The fourth proportional to 1,227.05, 1,840.70 and 349.59 is: 524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.05 : 1,840.70 = 349.59 : x
  2. Step 2: Convert to fraction form
    1,227.05/1,840.70 = 349.59/x
  3. Step 3: Cross multiply
    1,227.05x = 1,840.70 × 349.59
  4. Step 4: Simplify right side
    1,227.05x = 643,488.57
  5. Step 5: Solve for x
    x = 643,488.57/1,227.05
  6. Step 6: Final answer
    x = 524.42

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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.