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Finding the Fourth Proportional to 453.52, 624.75 and 328.81

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Solution

The fourth proportional to 453.52, 624.75 and 328.81 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 624.75 = 328.81 : x
  2. Step 2: Convert to fraction form
    453.52/624.75 = 328.81/x
  3. Step 3: Cross multiply
    453.52x = 624.75 × 328.81
  4. Step 4: Simplify right side
    453.52x = 205,424.05
  5. Step 5: Solve for x
    x = 205,424.05/453.52
  6. Step 6: Final answer
    x = 452.95

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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.