Home / 1,322.08-1,983.20-397.56

Finding the Fourth Proportional to 1,322.08, 1,983.20 and 397.56

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Solution

The fourth proportional to 1,322.08, 1,983.20 and 397.56 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.08 : 1,983.20 = 397.56 : x
  2. Step 2: Convert to fraction form
    1,322.08/1,983.20 = 397.56/x
  3. Step 3: Cross multiply
    1,322.08x = 1,983.20 × 397.56
  4. Step 4: Simplify right side
    1,322.08x = 788,440.99
  5. Step 5: Solve for x
    x = 788,440.99/1,322.08
  6. Step 6: Final answer
    x = 596.36

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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.