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Finding the Fourth Proportional to 488.50, 729.21 and 452.37

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Solution

The fourth proportional to 488.50, 729.21 and 452.37 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.50 : 729.21 = 452.37 : x
  2. Step 2: Convert to fraction form
    488.50/729.21 = 452.37/x
  3. Step 3: Cross multiply
    488.50x = 729.21 × 452.37
  4. Step 4: Simplify right side
    488.50x = 329,872.73
  5. Step 5: Solve for x
    x = 329,872.73/488.50
  6. Step 6: Final answer
    x = 675.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.