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Finding the Fourth Proportional to 722.58, 996.27 and 501.60

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Solution

The fourth proportional to 722.58, 996.27 and 501.60 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.58 : 996.27 = 501.60 : x
  2. Step 2: Convert to fraction form
    722.58/996.27 = 501.60/x
  3. Step 3: Cross multiply
    722.58x = 996.27 × 501.60
  4. Step 4: Simplify right side
    722.58x = 499,729.03
  5. Step 5: Solve for x
    x = 499,729.03/722.58
  6. Step 6: Final answer
    x = 691.59

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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.