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Finding the Fourth Proportional to 453.28, 624.67 and 322.06

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Solution

The fourth proportional to 453.28, 624.67 and 322.06 is: 443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.28 : 624.67 = 322.06 : x
  2. Step 2: Convert to fraction form
    453.28/624.67 = 322.06/x
  3. Step 3: Cross multiply
    453.28x = 624.67 × 322.06
  4. Step 4: Simplify right side
    453.28x = 201,181.22
  5. Step 5: Solve for x
    x = 201,181.22/453.28
  6. Step 6: Final answer
    x = 443.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.