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Finding the Fourth Proportional to 432.18, 647.08 and 327.75

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Solution

The fourth proportional to 432.18, 647.08 and 327.75 is: 490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.18 : 647.08 = 327.75 : x
  2. Step 2: Convert to fraction form
    432.18/647.08 = 327.75/x
  3. Step 3: Cross multiply
    432.18x = 647.08 × 327.75
  4. Step 4: Simplify right side
    432.18x = 212,080.47
  5. Step 5: Solve for x
    x = 212,080.47/432.18
  6. Step 6: Final answer
    x = 490.72

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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.