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Finding the Fourth Proportional to 432.17, 644.55 and 367.59

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Solution

The fourth proportional to 432.17, 644.55 and 367.59 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.17 : 644.55 = 367.59 : x
  2. Step 2: Convert to fraction form
    432.17/644.55 = 367.59/x
  3. Step 3: Cross multiply
    432.17x = 644.55 × 367.59
  4. Step 4: Simplify right side
    432.17x = 236,930.13
  5. Step 5: Solve for x
    x = 236,930.13/432.17
  6. Step 6: Final answer
    x = 548.24

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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.