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Finding the Fourth Proportional to 433.46, 649.61 and 405.79

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Solution

The fourth proportional to 433.46, 649.61 and 405.79 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.46 : 649.61 = 405.79 : x
  2. Step 2: Convert to fraction form
    433.46/649.61 = 405.79/x
  3. Step 3: Cross multiply
    433.46x = 649.61 × 405.79
  4. Step 4: Simplify right side
    433.46x = 263,603.11
  5. Step 5: Solve for x
    x = 263,603.11/433.46
  6. Step 6: Final answer
    x = 608.13

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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.