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Finding the Fourth Proportional to 645.37, 968.28 and 279.97

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Solution

The fourth proportional to 645.37, 968.28 and 279.97 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 968.28 = 279.97 : x
  2. Step 2: Convert to fraction form
    645.37/968.28 = 279.97/x
  3. Step 3: Cross multiply
    645.37x = 968.28 × 279.97
  4. Step 4: Simplify right side
    645.37x = 271,089.35
  5. Step 5: Solve for x
    x = 271,089.35/645.37
  6. Step 6: Final answer
    x = 420.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.