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Finding the Fourth Proportional to 663.36, 993.18 and 431.67

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Solution

The fourth proportional to 663.36, 993.18 and 431.67 is: 646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.36 : 993.18 = 431.67 : x
  2. Step 2: Convert to fraction form
    663.36/993.18 = 431.67/x
  3. Step 3: Cross multiply
    663.36x = 993.18 × 431.67
  4. Step 4: Simplify right side
    663.36x = 428,721.04
  5. Step 5: Solve for x
    x = 428,721.04/663.36
  6. Step 6: Final answer
    x = 646.29

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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.