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Finding the Fourth Proportional to 1,322.34, 1,983.83 and 456.66

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Solution

The fourth proportional to 1,322.34, 1,983.83 and 456.66 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.34 : 1,983.83 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,322.34/1,983.83 = 456.66/x
  3. Step 3: Cross multiply
    1,322.34x = 1,983.83 × 456.66
  4. Step 4: Simplify right side
    1,322.34x = 905,935.81
  5. Step 5: Solve for x
    x = 905,935.81/1,322.34
  6. Step 6: Final answer
    x = 685.10

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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.