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Finding the Fourth Proportional to 1,270.96, 1,905.94 and 490.53

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Solution

The fourth proportional to 1,270.96, 1,905.94 and 490.53 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.96 : 1,905.94 = 490.53 : x
  2. Step 2: Convert to fraction form
    1,270.96/1,905.94 = 490.53/x
  3. Step 3: Cross multiply
    1,270.96x = 1,905.94 × 490.53
  4. Step 4: Simplify right side
    1,270.96x = 934,920.75
  5. Step 5: Solve for x
    x = 934,920.75/1,270.96
  6. Step 6: Final answer
    x = 735.60

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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.