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Finding the Fourth Proportional to 622.25, 931.55 and 484.88

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Solution

The fourth proportional to 622.25, 931.55 and 484.88 is: 725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 931.55 = 484.88 : x
  2. Step 2: Convert to fraction form
    622.25/931.55 = 484.88/x
  3. Step 3: Cross multiply
    622.25x = 931.55 × 484.88
  4. Step 4: Simplify right side
    622.25x = 451,682.88
  5. Step 5: Solve for x
    x = 451,682.88/622.25
  6. Step 6: Final answer
    x = 725.89

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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.