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Finding the Fourth Proportional to 452.12, 623.30 and 378.32

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Solution

The fourth proportional to 452.12, 623.30 and 378.32 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 623.30 = 378.32 : x
  2. Step 2: Convert to fraction form
    452.12/623.30 = 378.32/x
  3. Step 3: Cross multiply
    452.12x = 623.30 × 378.32
  4. Step 4: Simplify right side
    452.12x = 235,801.85
  5. Step 5: Solve for x
    x = 235,801.85/452.12
  6. Step 6: Final answer
    x = 521.55

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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.