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Finding the Fourth Proportional to 432.19, 647.07 and 329.05

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Solution

The fourth proportional to 432.19, 647.07 and 329.05 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 647.07 = 329.05 : x
  2. Step 2: Convert to fraction form
    432.19/647.07 = 329.05/x
  3. Step 3: Cross multiply
    432.19x = 647.07 × 329.05
  4. Step 4: Simplify right side
    432.19x = 212,918.38
  5. Step 5: Solve for x
    x = 212,918.38/432.19
  6. Step 6: Final answer
    x = 492.65

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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.