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Finding the Fourth Proportional to 641.96, 886.32 and 455.64

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Solution

The fourth proportional to 641.96, 886.32 and 455.64 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 886.32 = 455.64 : x
  2. Step 2: Convert to fraction form
    641.96/886.32 = 455.64/x
  3. Step 3: Cross multiply
    641.96x = 886.32 × 455.64
  4. Step 4: Simplify right side
    641.96x = 403,842.84
  5. Step 5: Solve for x
    x = 403,842.84/641.96
  6. Step 6: Final answer
    x = 629.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.