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Finding the Fourth Proportional to 420.76, 633.87 and 329.86

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Solution

The fourth proportional to 420.76, 633.87 and 329.86 is: 496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.76 : 633.87 = 329.86 : x
  2. Step 2: Convert to fraction form
    420.76/633.87 = 329.86/x
  3. Step 3: Cross multiply
    420.76x = 633.87 × 329.86
  4. Step 4: Simplify right side
    420.76x = 209,089.15
  5. Step 5: Solve for x
    x = 209,089.15/420.76
  6. Step 6: Final answer
    x = 496.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.