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Finding the Fourth Proportional to 1,270.89, 1,906.20 and 346.53

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Solution

The fourth proportional to 1,270.89, 1,906.20 and 346.53 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.89 : 1,906.20 = 346.53 : x
  2. Step 2: Convert to fraction form
    1,270.89/1,906.20 = 346.53/x
  3. Step 3: Cross multiply
    1,270.89x = 1,906.20 × 346.53
  4. Step 4: Simplify right side
    1,270.89x = 660,546.82
  5. Step 5: Solve for x
    x = 660,546.82/1,270.89
  6. Step 6: Final answer
    x = 519.75

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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.