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Finding the Fourth Proportional to 433.01, 646.09 and 406.75

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Solution

The fourth proportional to 433.01, 646.09 and 406.75 is: 606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 646.09 = 406.75 : x
  2. Step 2: Convert to fraction form
    433.01/646.09 = 406.75/x
  3. Step 3: Cross multiply
    433.01x = 646.09 × 406.75
  4. Step 4: Simplify right side
    433.01x = 262,795.07
  5. Step 5: Solve for x
    x = 262,795.07/433.01
  6. Step 6: Final answer
    x = 606.90

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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.