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Finding the Fourth Proportional to 452.27, 623.70 and 312.41

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Solution

The fourth proportional to 452.27, 623.70 and 312.41 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.27 : 623.70 = 312.41 : x
  2. Step 2: Convert to fraction form
    452.27/623.70 = 312.41/x
  3. Step 3: Cross multiply
    452.27x = 623.70 × 312.41
  4. Step 4: Simplify right side
    452.27x = 194,850.12
  5. Step 5: Solve for x
    x = 194,850.12/452.27
  6. Step 6: Final answer
    x = 430.83

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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.