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Finding the Fourth Proportional to 1,322.40, 1,983.54 and 628.56

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Solution

The fourth proportional to 1,322.40, 1,983.54 and 628.56 is: 942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,983.54 = 628.56 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,983.54 = 628.56/x
  3. Step 3: Cross multiply
    1,322.40x = 1,983.54 × 628.56
  4. Step 4: Simplify right side
    1,322.40x = 1,246,773.90
  5. Step 5: Solve for x
    x = 1,246,773.90/1,322.40
  6. Step 6: Final answer
    x = 942.81

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1.5x scale

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.