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Finding the Fourth Proportional to 640.96, 961.23 and 435.64

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Solution

The fourth proportional to 640.96, 961.23 and 435.64 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 961.23 = 435.64 : x
  2. Step 2: Convert to fraction form
    640.96/961.23 = 435.64/x
  3. Step 3: Cross multiply
    640.96x = 961.23 × 435.64
  4. Step 4: Simplify right side
    640.96x = 418,750.24
  5. Step 5: Solve for x
    x = 418,750.24/640.96
  6. Step 6: Final answer
    x = 653.32

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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.