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Finding the Fourth Proportional to 1,322.24, 1,981.87 and 628.34

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Solution

The fourth proportional to 1,322.24, 1,981.87 and 628.34 is: 941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.24 : 1,981.87 = 628.34 : x
  2. Step 2: Convert to fraction form
    1,322.24/1,981.87 = 628.34/x
  3. Step 3: Cross multiply
    1,322.24x = 1,981.87 × 628.34
  4. Step 4: Simplify right side
    1,322.24x = 1,245,275.14
  5. Step 5: Solve for x
    x = 1,245,275.14/1,322.24
  6. Step 6: Final answer
    x = 941.80

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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.