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Finding the Fourth Proportional to 432.96, 646.37 and 375.63

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Solution

The fourth proportional to 432.96, 646.37 and 375.63 is: 560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 646.37 = 375.63 : x
  2. Step 2: Convert to fraction form
    432.96/646.37 = 375.63/x
  3. Step 3: Cross multiply
    432.96x = 646.37 × 375.63
  4. Step 4: Simplify right side
    432.96x = 242,794.08
  5. Step 5: Solve for x
    x = 242,794.08/432.96
  6. Step 6: Final answer
    x = 560.78

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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.