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Finding the Fourth Proportional to 645.32, 967.29 and 280.36

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Solution

The fourth proportional to 645.32, 967.29 and 280.36 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 967.29 = 280.36 : x
  2. Step 2: Convert to fraction form
    645.32/967.29 = 280.36/x
  3. Step 3: Cross multiply
    645.32x = 967.29 × 280.36
  4. Step 4: Simplify right side
    645.32x = 271,191.16
  5. Step 5: Solve for x
    x = 271,191.16/645.32
  6. Step 6: Final answer
    x = 420.24

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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.