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Finding the Fourth Proportional to 1,255.72, 1,879.80 and 908.50

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Solution

The fourth proportional to 1,255.72, 1,879.80 and 908.50 is: 1,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.72 : 1,879.80 = 908.50 : x
  2. Step 2: Convert to fraction form
    1,255.72/1,879.80 = 908.50/x
  3. Step 3: Cross multiply
    1,255.72x = 1,879.80 × 908.50
  4. Step 4: Simplify right side
    1,255.72x = 1,707,798.30
  5. Step 5: Solve for x
    x = 1,707,798.30/1,255.72
  6. Step 6: Final answer
    x = 1,360.02

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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.