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Finding the Fourth Proportional to 645.16, 968.02 and 320.90

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Solution

The fourth proportional to 645.16, 968.02 and 320.90 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.16 : 968.02 = 320.90 : x
  2. Step 2: Convert to fraction form
    645.16/968.02 = 320.90/x
  3. Step 3: Cross multiply
    645.16x = 968.02 × 320.90
  4. Step 4: Simplify right side
    645.16x = 310,637.62
  5. Step 5: Solve for x
    x = 310,637.62/645.16
  6. Step 6: Final answer
    x = 481.49

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1.5x scale

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.