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Finding the Fourth Proportional to 432.28, 647.61 and 335.62

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Solution

The fourth proportional to 432.28, 647.61 and 335.62 is: 502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 647.61 = 335.62 : x
  2. Step 2: Convert to fraction form
    432.28/647.61 = 335.62/x
  3. Step 3: Cross multiply
    432.28x = 647.61 × 335.62
  4. Step 4: Simplify right side
    432.28x = 217,350.87
  5. Step 5: Solve for x
    x = 217,350.87/432.28
  6. Step 6: Final answer
    x = 502.80

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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.