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Finding the Fourth Proportional to 1,550.54, 2,324.42 and 1,002.86

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Solution

The fourth proportional to 1,550.54, 2,324.42 and 1,002.86 is: 1,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.54 : 2,324.42 = 1,002.86 : x
  2. Step 2: Convert to fraction form
    1,550.54/2,324.42 = 1,002.86/x
  3. Step 3: Cross multiply
    1,550.54x = 2,324.42 × 1,002.86
  4. Step 4: Simplify right side
    1,550.54x = 2,331,062.83
  5. Step 5: Solve for x
    x = 2,331,062.83/1,550.54
  6. Step 6: Final answer
    x = 1,503.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.