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Finding the Fourth Proportional to 682.80, 922.50 and 682.80

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Solution

The fourth proportional to 682.80, 922.50 and 682.80 is: 922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 922.50 = 682.80 : x
  2. Step 2: Convert to fraction form
    682.80/922.50 = 682.80/x
  3. Step 3: Cross multiply
    682.80x = 922.50 × 682.80
  4. Step 4: Simplify right side
    682.80x = 629,883
  5. Step 5: Solve for x
    x = 629,883/682.80
  6. Step 6: Final answer
    x = 922.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.