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Finding the Fourth Proportional to 723, 996.48 and 536.16

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Solution

The fourth proportional to 723, 996.48 and 536.16 is: 738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 996.48 = 536.16 : x
  2. Step 2: Convert to fraction form
    723/996.48 = 536.16/x
  3. Step 3: Cross multiply
    723x = 996.48 × 536.16
  4. Step 4: Simplify right side
    723x = 534,272.72
  5. Step 5: Solve for x
    x = 534,272.72/723
  6. Step 6: Final answer
    x = 738.97

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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.