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Finding the Fourth Proportional to 662.46, 992.96 and 431.52

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Solution

The fourth proportional to 662.46, 992.96 and 431.52 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.46 : 992.96 = 431.52 : x
  2. Step 2: Convert to fraction form
    662.46/992.96 = 431.52/x
  3. Step 3: Cross multiply
    662.46x = 992.96 × 431.52
  4. Step 4: Simplify right side
    662.46x = 428,482.10
  5. Step 5: Solve for x
    x = 428,482.10/662.46
  6. Step 6: Final answer
    x = 646.80

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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.