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Finding the Fourth Proportional to 663.21, 992.99 and 457.27

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Solution

The fourth proportional to 663.21, 992.99 and 457.27 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.21 : 992.99 = 457.27 : x
  2. Step 2: Convert to fraction form
    663.21/992.99 = 457.27/x
  3. Step 3: Cross multiply
    663.21x = 992.99 × 457.27
  4. Step 4: Simplify right side
    663.21x = 454,063.20
  5. Step 5: Solve for x
    x = 454,063.20/663.21
  6. Step 6: Final answer
    x = 684.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.