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Finding the Fourth Proportional to 452.40, 623.60 and 364.96

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Solution

The fourth proportional to 452.40, 623.60 and 364.96 is: 503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 623.60 = 364.96 : x
  2. Step 2: Convert to fraction form
    452.40/623.60 = 364.96/x
  3. Step 3: Cross multiply
    452.40x = 623.60 × 364.96
  4. Step 4: Simplify right side
    452.40x = 227,589.06
  5. Step 5: Solve for x
    x = 227,589.06/452.40
  6. Step 6: Final answer
    x = 503.07

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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.