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Finding the Fourth Proportional to 1,270.38, 1,905.56 and 345.86

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Solution

The fourth proportional to 1,270.38, 1,905.56 and 345.86 is: 518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.38 : 1,905.56 = 345.86 : x
  2. Step 2: Convert to fraction form
    1,270.38/1,905.56 = 345.86/x
  3. Step 3: Cross multiply
    1,270.38x = 1,905.56 × 345.86
  4. Step 4: Simplify right side
    1,270.38x = 659,056.98
  5. Step 5: Solve for x
    x = 659,056.98/1,270.38
  6. Step 6: Final answer
    x = 518.79

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1.5x scale

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.