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Finding the Fourth Proportional to 432.27, 646.99 and 416.21

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Solution

The fourth proportional to 432.27, 646.99 and 416.21 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 646.99 = 416.21 : x
  2. Step 2: Convert to fraction form
    432.27/646.99 = 416.21/x
  3. Step 3: Cross multiply
    432.27x = 646.99 × 416.21
  4. Step 4: Simplify right side
    432.27x = 269,284.89
  5. Step 5: Solve for x
    x = 269,284.89/432.27
  6. Step 6: Final answer
    x = 622.95

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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.