Home / 1,322.23-1,983.36-397.80

Finding the Fourth Proportional to 1,322.23, 1,983.36 and 397.80

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Solution

The fourth proportional to 1,322.23, 1,983.36 and 397.80 is: 596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,983.36 = 397.80 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,983.36 = 397.80/x
  3. Step 3: Cross multiply
    1,322.23x = 1,983.36 × 397.80
  4. Step 4: Simplify right side
    1,322.23x = 788,980.61
  5. Step 5: Solve for x
    x = 788,980.61/1,322.23
  6. Step 6: Final answer
    x = 596.70

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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.