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Finding the Fourth Proportional to 662.28, 993.66 and 431.04

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Solution

The fourth proportional to 662.28, 993.66 and 431.04 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.28 : 993.66 = 431.04 : x
  2. Step 2: Convert to fraction form
    662.28/993.66 = 431.04/x
  3. Step 3: Cross multiply
    662.28x = 993.66 × 431.04
  4. Step 4: Simplify right side
    662.28x = 428,307.21
  5. Step 5: Solve for x
    x = 428,307.21/662.28
  6. Step 6: Final answer
    x = 646.72

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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.