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Finding the Fourth Proportional to 723.13, 996.92 and 457.44

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Solution

The fourth proportional to 723.13, 996.92 and 457.44 is: 630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.13 : 996.92 = 457.44 : x
  2. Step 2: Convert to fraction form
    723.13/996.92 = 457.44/x
  3. Step 3: Cross multiply
    723.13x = 996.92 × 457.44
  4. Step 4: Simplify right side
    723.13x = 456,029.35
  5. Step 5: Solve for x
    x = 456,029.35/723.13
  6. Step 6: Final answer
    x = 630.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.