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Finding the Fourth Proportional to 1,322.38, 1,983.78 and 456.76

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Solution

The fourth proportional to 1,322.38, 1,983.78 and 456.76 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.38 : 1,983.78 = 456.76 : x
  2. Step 2: Convert to fraction form
    1,322.38/1,983.78 = 456.76/x
  3. Step 3: Cross multiply
    1,322.38x = 1,983.78 × 456.76
  4. Step 4: Simplify right side
    1,322.38x = 906,111.35
  5. Step 5: Solve for x
    x = 906,111.35/1,322.38
  6. Step 6: Final answer
    x = 685.21

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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.