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Finding the Fourth Proportional to 645.57, 968.01 and 320.55

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Solution

The fourth proportional to 645.57, 968.01 and 320.55 is: 480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 968.01 = 320.55 : x
  2. Step 2: Convert to fraction form
    645.57/968.01 = 320.55/x
  3. Step 3: Cross multiply
    645.57x = 968.01 × 320.55
  4. Step 4: Simplify right side
    645.57x = 310,295.61
  5. Step 5: Solve for x
    x = 310,295.61/645.57
  6. Step 6: Final answer
    x = 480.65

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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.