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Finding the Fourth Proportional to 645.36, 967.67 and 440.21

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Solution

The fourth proportional to 645.36, 967.67 and 440.21 is: 660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 967.67 = 440.21 : x
  2. Step 2: Convert to fraction form
    645.36/967.67 = 440.21/x
  3. Step 3: Cross multiply
    645.36x = 967.67 × 440.21
  4. Step 4: Simplify right side
    645.36x = 425,970.97
  5. Step 5: Solve for x
    x = 425,970.97/645.36
  6. Step 6: Final answer
    x = 660.05

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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.