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Finding the Fourth Proportional to 969.07, 1,453.79 and 353.64

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Solution

The fourth proportional to 969.07, 1,453.79 and 353.64 is: 530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.07 : 1,453.79 = 353.64 : x
  2. Step 2: Convert to fraction form
    969.07/1,453.79 = 353.64/x
  3. Step 3: Cross multiply
    969.07x = 1,453.79 × 353.64
  4. Step 4: Simplify right side
    969.07x = 514,118.30
  5. Step 5: Solve for x
    x = 514,118.30/969.07
  6. Step 6: Final answer
    x = 530.53

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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.