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Finding the Fourth Proportional to 645.87, 968.95 and 337.64

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Solution

The fourth proportional to 645.87, 968.95 and 337.64 is: 506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 968.95 = 337.64 : x
  2. Step 2: Convert to fraction form
    645.87/968.95 = 337.64/x
  3. Step 3: Cross multiply
    645.87x = 968.95 × 337.64
  4. Step 4: Simplify right side
    645.87x = 327,157.01
  5. Step 5: Solve for x
    x = 327,157.01/645.87
  6. Step 6: Final answer
    x = 506.53

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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.