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Finding the Fourth Proportional to 617.45, 852.31 and 452.52

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Solution

The fourth proportional to 617.45, 852.31 and 452.52 is: 624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.45 : 852.31 = 452.52 : x
  2. Step 2: Convert to fraction form
    617.45/852.31 = 452.52/x
  3. Step 3: Cross multiply
    617.45x = 852.31 × 452.52
  4. Step 4: Simplify right side
    617.45x = 385,687.32
  5. Step 5: Solve for x
    x = 385,687.32/617.45
  6. Step 6: Final answer
    x = 624.65

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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.