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Finding the Fourth Proportional to 662.40, 993.96 and 431.24

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Solution

The fourth proportional to 662.40, 993.96 and 431.24 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 993.96 = 431.24 : x
  2. Step 2: Convert to fraction form
    662.40/993.96 = 431.24/x
  3. Step 3: Cross multiply
    662.40x = 993.96 × 431.24
  4. Step 4: Simplify right side
    662.40x = 428,630.34
  5. Step 5: Solve for x
    x = 428,630.34/662.40
  6. Step 6: Final answer
    x = 647.09

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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.