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Finding the Fourth Proportional to 432.10, 647.49 and 323.82

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Solution

The fourth proportional to 432.10, 647.49 and 323.82 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.10 : 647.49 = 323.82 : x
  2. Step 2: Convert to fraction form
    432.10/647.49 = 323.82/x
  3. Step 3: Cross multiply
    432.10x = 647.49 × 323.82
  4. Step 4: Simplify right side
    432.10x = 209,670.21
  5. Step 5: Solve for x
    x = 209,670.21/432.10
  6. Step 6: Final answer
    x = 485.24

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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.