Home / 1,322.76-1,983.78-456.96

Finding the Fourth Proportional to 1,322.76, 1,983.78 and 456.96

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Solution

The fourth proportional to 1,322.76, 1,983.78 and 456.96 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.76 : 1,983.78 = 456.96 : x
  2. Step 2: Convert to fraction form
    1,322.76/1,983.78 = 456.96/x
  3. Step 3: Cross multiply
    1,322.76x = 1,983.78 × 456.96
  4. Step 4: Simplify right side
    1,322.76x = 906,508.11
  5. Step 5: Solve for x
    x = 906,508.11/1,322.76
  6. Step 6: Final answer
    x = 685.32

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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.