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Finding the Fourth Proportional to 645.01, 967.57 and 182.80

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Solution

The fourth proportional to 645.01, 967.57 and 182.80 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.01 : 967.57 = 182.80 : x
  2. Step 2: Convert to fraction form
    645.01/967.57 = 182.80/x
  3. Step 3: Cross multiply
    645.01x = 967.57 × 182.80
  4. Step 4: Simplify right side
    645.01x = 176,871.80
  5. Step 5: Solve for x
    x = 176,871.80/645.01
  6. Step 6: Final answer
    x = 274.22

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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.