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Finding the Fourth Proportional to 662.92, 993.34 and 431.40

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Solution

The fourth proportional to 662.92, 993.34 and 431.40 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 993.34 = 431.40 : x
  2. Step 2: Convert to fraction form
    662.92/993.34 = 431.40/x
  3. Step 3: Cross multiply
    662.92x = 993.34 × 431.40
  4. Step 4: Simplify right side
    662.92x = 428,526.88
  5. Step 5: Solve for x
    x = 428,526.88/662.92
  6. Step 6: Final answer
    x = 646.42

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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.