Home / 1,322.28-1,983.39-456.66

Finding the Fourth Proportional to 1,322.28, 1,983.39 and 456.66

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Solution

The fourth proportional to 1,322.28, 1,983.39 and 456.66 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.28 : 1,983.39 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,322.28/1,983.39 = 456.66/x
  3. Step 3: Cross multiply
    1,322.28x = 1,983.39 × 456.66
  4. Step 4: Simplify right side
    1,322.28x = 905,734.88
  5. Step 5: Solve for x
    x = 905,734.88/1,322.28
  6. Step 6: Final answer
    x = 684.98

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1.5x scale

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.