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Finding the Fourth Proportional to 645.74, 967.80 and 463.49

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Solution

The fourth proportional to 645.74, 967.80 and 463.49 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 967.80 = 463.49 : x
  2. Step 2: Convert to fraction form
    645.74/967.80 = 463.49/x
  3. Step 3: Cross multiply
    645.74x = 967.80 × 463.49
  4. Step 4: Simplify right side
    645.74x = 448,563.54
  5. Step 5: Solve for x
    x = 448,563.54/645.74
  6. Step 6: Final answer
    x = 694.65

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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.