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Finding the Fourth Proportional to 1,180.23, 1,628.50 and 682.68

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Solution

The fourth proportional to 1,180.23, 1,628.50 and 682.68 is: 941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.23 : 1,628.50 = 682.68 : x
  2. Step 2: Convert to fraction form
    1,180.23/1,628.50 = 682.68/x
  3. Step 3: Cross multiply
    1,180.23x = 1,628.50 × 682.68
  4. Step 4: Simplify right side
    1,180.23x = 1,111,744.38
  5. Step 5: Solve for x
    x = 1,111,744.38/1,180.23
  6. Step 6: Final answer
    x = 941.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.