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Finding the Fourth Proportional to 645.26, 969.59 and 352.96

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Solution

The fourth proportional to 645.26, 969.59 and 352.96 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.26 : 969.59 = 352.96 : x
  2. Step 2: Convert to fraction form
    645.26/969.59 = 352.96/x
  3. Step 3: Cross multiply
    645.26x = 969.59 × 352.96
  4. Step 4: Simplify right side
    645.26x = 342,224.94
  5. Step 5: Solve for x
    x = 342,224.94/645.26
  6. Step 6: Final answer
    x = 530.37

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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.