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Finding the Fourth Proportional to 1,270.71, 1,906.05 and 346.35

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Solution

The fourth proportional to 1,270.71, 1,906.05 and 346.35 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.71 : 1,906.05 = 346.35 : x
  2. Step 2: Convert to fraction form
    1,270.71/1,906.05 = 346.35/x
  3. Step 3: Cross multiply
    1,270.71x = 1,906.05 × 346.35
  4. Step 4: Simplify right side
    1,270.71x = 660,160.42
  5. Step 5: Solve for x
    x = 660,160.42/1,270.71
  6. Step 6: Final answer
    x = 519.52

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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.