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Finding the Fourth Proportional to 431.64, 646.50 and 333.43

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Solution

The fourth proportional to 431.64, 646.50 and 333.43 is: 499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 646.50 = 333.43 : x
  2. Step 2: Convert to fraction form
    431.64/646.50 = 333.43/x
  3. Step 3: Cross multiply
    431.64x = 646.50 × 333.43
  4. Step 4: Simplify right side
    431.64x = 215,562.13
  5. Step 5: Solve for x
    x = 215,562.13/431.64
  6. Step 6: Final answer
    x = 499.40

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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.