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Finding the Fourth Proportional to 645.73, 969.96 and 464.29

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Solution

The fourth proportional to 645.73, 969.96 and 464.29 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.73 : 969.96 = 464.29 : x
  2. Step 2: Convert to fraction form
    645.73/969.96 = 464.29/x
  3. Step 3: Cross multiply
    645.73x = 969.96 × 464.29
  4. Step 4: Simplify right side
    645.73x = 450,342.73
  5. Step 5: Solve for x
    x = 450,342.73/645.73
  6. Step 6: Final answer
    x = 697.42

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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.