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Finding the Fourth Proportional to 645.28, 967.45 and 320.58

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Solution

The fourth proportional to 645.28, 967.45 and 320.58 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 967.45 = 320.58 : x
  2. Step 2: Convert to fraction form
    645.28/967.45 = 320.58/x
  3. Step 3: Cross multiply
    645.28x = 967.45 × 320.58
  4. Step 4: Simplify right side
    645.28x = 310,145.12
  5. Step 5: Solve for x
    x = 310,145.12/645.28
  6. Step 6: Final answer
    x = 480.64

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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.