Home / 1,322.30-1,981.39-500.12

Finding the Fourth Proportional to 1,322.30, 1,981.39 and 500.12

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Solution

The fourth proportional to 1,322.30, 1,981.39 and 500.12 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.30 : 1,981.39 = 500.12 : x
  2. Step 2: Convert to fraction form
    1,322.30/1,981.39 = 500.12/x
  3. Step 3: Cross multiply
    1,322.30x = 1,981.39 × 500.12
  4. Step 4: Simplify right side
    1,322.30x = 990,936.47
  5. Step 5: Solve for x
    x = 990,936.47/1,322.30
  6. Step 6: Final answer
    x = 749.41

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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.