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Finding the Fourth Proportional to 452.63, 623.91 and 369.60

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Solution

The fourth proportional to 452.63, 623.91 and 369.60 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.63 : 623.91 = 369.60 : x
  2. Step 2: Convert to fraction form
    452.63/623.91 = 369.60/x
  3. Step 3: Cross multiply
    452.63x = 623.91 × 369.60
  4. Step 4: Simplify right side
    452.63x = 230,597.14
  5. Step 5: Solve for x
    x = 230,597.14/452.63
  6. Step 6: Final answer
    x = 509.46

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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.