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Finding the Fourth Proportional to 435.47, 600.50 and 324.77

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Solution

The fourth proportional to 435.47, 600.50 and 324.77 is: 447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.47 : 600.50 = 324.77 : x
  2. Step 2: Convert to fraction form
    435.47/600.50 = 324.77/x
  3. Step 3: Cross multiply
    435.47x = 600.50 × 324.77
  4. Step 4: Simplify right side
    435.47x = 195,022.76
  5. Step 5: Solve for x
    x = 195,022.76/435.47
  6. Step 6: Final answer
    x = 447.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.