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Finding the Fourth Proportional to 663.99, 992.23 and 648.60

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Solution

The fourth proportional to 663.99, 992.23 and 648.60 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.99 : 992.23 = 648.60 : x
  2. Step 2: Convert to fraction form
    663.99/992.23 = 648.60/x
  3. Step 3: Cross multiply
    663.99x = 992.23 × 648.60
  4. Step 4: Simplify right side
    663.99x = 643,560.38
  5. Step 5: Solve for x
    x = 643,560.38/663.99
  6. Step 6: Final answer
    x = 969.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.