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Finding the Fourth Proportional to 645.52, 967.42 and 353.14

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Solution

The fourth proportional to 645.52, 967.42 and 353.14 is: 529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 967.42 = 353.14 : x
  2. Step 2: Convert to fraction form
    645.52/967.42 = 353.14/x
  3. Step 3: Cross multiply
    645.52x = 967.42 × 353.14
  4. Step 4: Simplify right side
    645.52x = 341,634.70
  5. Step 5: Solve for x
    x = 341,634.70/645.52
  6. Step 6: Final answer
    x = 529.24

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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.