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Finding the Fourth Proportional to 433.26, 646.74 and 405.72

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Solution

The fourth proportional to 433.26, 646.74 and 405.72 is: 605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 646.74 = 405.72 : x
  2. Step 2: Convert to fraction form
    433.26/646.74 = 405.72/x
  3. Step 3: Cross multiply
    433.26x = 646.74 × 405.72
  4. Step 4: Simplify right side
    433.26x = 262,395.35
  5. Step 5: Solve for x
    x = 262,395.35/433.26
  6. Step 6: Final answer
    x = 605.63

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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.