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Finding the Fourth Proportional to 433.25, 649.33 and 341.59

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Solution

The fourth proportional to 433.25, 649.33 and 341.59 is: 511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.25 : 649.33 = 341.59 : x
  2. Step 2: Convert to fraction form
    433.25/649.33 = 341.59/x
  3. Step 3: Cross multiply
    433.25x = 649.33 × 341.59
  4. Step 4: Simplify right side
    433.25x = 221,804.63
  5. Step 5: Solve for x
    x = 221,804.63/433.25
  6. Step 6: Final answer
    x = 511.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.