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Finding the Fourth Proportional to 453.68, 624.42 and 322.46

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Solution

The fourth proportional to 453.68, 624.42 and 322.46 is: 443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.68 : 624.42 = 322.46 : x
  2. Step 2: Convert to fraction form
    453.68/624.42 = 322.46/x
  3. Step 3: Cross multiply
    453.68x = 624.42 × 322.46
  4. Step 4: Simplify right side
    453.68x = 201,350.47
  5. Step 5: Solve for x
    x = 201,350.47/453.68
  6. Step 6: Final answer
    x = 443.82

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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.