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Finding the Fourth Proportional to 645.15, 968.91 and 337.21

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Solution

The fourth proportional to 645.15, 968.91 and 337.21 is: 506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.15 : 968.91 = 337.21 : x
  2. Step 2: Convert to fraction form
    645.15/968.91 = 337.21/x
  3. Step 3: Cross multiply
    645.15x = 968.91 × 337.21
  4. Step 4: Simplify right side
    645.15x = 326,726.14
  5. Step 5: Solve for x
    x = 326,726.14/645.15
  6. Step 6: Final answer
    x = 506.43

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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.