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Finding the Fourth Proportional to 452.15, 623.63 and 328.02

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Solution

The fourth proportional to 452.15, 623.63 and 328.02 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.15 : 623.63 = 328.02 : x
  2. Step 2: Convert to fraction form
    452.15/623.63 = 328.02/x
  3. Step 3: Cross multiply
    452.15x = 623.63 × 328.02
  4. Step 4: Simplify right side
    452.15x = 204,563.11
  5. Step 5: Solve for x
    x = 204,563.11/452.15
  6. Step 6: Final answer
    x = 452.42

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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.