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Finding the Fourth Proportional to 452.64, 625.28 and 365.16

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Solution

The fourth proportional to 452.64, 625.28 and 365.16 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 625.28 = 365.16 : x
  2. Step 2: Convert to fraction form
    452.64/625.28 = 365.16/x
  3. Step 3: Cross multiply
    452.64x = 625.28 × 365.16
  4. Step 4: Simplify right side
    452.64x = 228,327.24
  5. Step 5: Solve for x
    x = 228,327.24/452.64
  6. Step 6: Final answer
    x = 504.43

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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.