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Finding the Fourth Proportional to 432.68, 644.65 and 422.96

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Solution

The fourth proportional to 432.68, 644.65 and 422.96 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 644.65 = 422.96 : x
  2. Step 2: Convert to fraction form
    432.68/644.65 = 422.96/x
  3. Step 3: Cross multiply
    432.68x = 644.65 × 422.96
  4. Step 4: Simplify right side
    432.68x = 272,661.16
  5. Step 5: Solve for x
    x = 272,661.16/432.68
  6. Step 6: Final answer
    x = 630.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.