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Finding the Fourth Proportional to 1,025.48, 1,537.20 and 408.80

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Solution

The fourth proportional to 1,025.48, 1,537.20 and 408.80 is: 612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.48 : 1,537.20 = 408.80 : x
  2. Step 2: Convert to fraction form
    1,025.48/1,537.20 = 408.80/x
  3. Step 3: Cross multiply
    1,025.48x = 1,537.20 × 408.80
  4. Step 4: Simplify right side
    1,025.48x = 628,407.36
  5. Step 5: Solve for x
    x = 628,407.36/1,025.48
  6. Step 6: Final answer
    x = 612.79

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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.