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Finding the Fourth Proportional to 1,270.55, 1,905.57 and 448.85

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Solution

The fourth proportional to 1,270.55, 1,905.57 and 448.85 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.55 : 1,905.57 = 448.85 : x
  2. Step 2: Convert to fraction form
    1,270.55/1,905.57 = 448.85/x
  3. Step 3: Cross multiply
    1,270.55x = 1,905.57 × 448.85
  4. Step 4: Simplify right side
    1,270.55x = 855,319.86
  5. Step 5: Solve for x
    x = 855,319.86/1,270.55
  6. Step 6: Final answer
    x = 673.19

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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.