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Finding the Fourth Proportional to 682.50, 1,023.12 and 622.38

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Solution

The fourth proportional to 682.50, 1,023.12 and 622.38 is: 933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 1,023.12 = 622.38 : x
  2. Step 2: Convert to fraction form
    682.50/1,023.12 = 622.38/x
  3. Step 3: Cross multiply
    682.50x = 1,023.12 × 622.38
  4. Step 4: Simplify right side
    682.50x = 636,769.43
  5. Step 5: Solve for x
    x = 636,769.43/682.50
  6. Step 6: Final answer
    x = 933.00

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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.