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Finding the Fourth Proportional to 645.74, 969.08 and 321.34

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Solution

The fourth proportional to 645.74, 969.08 and 321.34 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 969.08 = 321.34 : x
  2. Step 2: Convert to fraction form
    645.74/969.08 = 321.34/x
  3. Step 3: Cross multiply
    645.74x = 969.08 × 321.34
  4. Step 4: Simplify right side
    645.74x = 311,404.17
  5. Step 5: Solve for x
    x = 311,404.17/645.74
  6. Step 6: Final answer
    x = 482.24

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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.