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Finding the Fourth Proportional to 722.43, 996.50 and 536.09

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Solution

The fourth proportional to 722.43, 996.50 and 536.09 is: 739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.43 : 996.50 = 536.09 : x
  2. Step 2: Convert to fraction form
    722.43/996.50 = 536.09/x
  3. Step 3: Cross multiply
    722.43x = 996.50 × 536.09
  4. Step 4: Simplify right side
    722.43x = 534,206.02
  5. Step 5: Solve for x
    x = 534,206.02/722.43
  6. Step 6: Final answer
    x = 739.46

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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.