Home / 1,322.10-1,983.26-348.20

Finding the Fourth Proportional to 1,322.10, 1,983.26 and 348.20

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Solution

The fourth proportional to 1,322.10, 1,983.26 and 348.20 is: 522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.10 : 1,983.26 = 348.20 : x
  2. Step 2: Convert to fraction form
    1,322.10/1,983.26 = 348.20/x
  3. Step 3: Cross multiply
    1,322.10x = 1,983.26 × 348.20
  4. Step 4: Simplify right side
    1,322.10x = 690,559.47
  5. Step 5: Solve for x
    x = 690,559.47/1,322.10
  6. Step 6: Final answer
    x = 522.32

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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.