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Finding the Fourth Proportional to 682.93, 1,024.38 and 169.93

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Solution

The fourth proportional to 682.93, 1,024.38 and 169.93 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.93 : 1,024.38 = 169.93 : x
  2. Step 2: Convert to fraction form
    682.93/1,024.38 = 169.93/x
  3. Step 3: Cross multiply
    682.93x = 1,024.38 × 169.93
  4. Step 4: Simplify right side
    682.93x = 174,070.33
  5. Step 5: Solve for x
    x = 174,070.33/682.93
  6. Step 6: Final answer
    x = 254.89

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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.