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Finding the Fourth Proportional to 433.35, 653.21 and 408.26

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Solution

The fourth proportional to 433.35, 653.21 and 408.26 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 653.21 = 408.26 : x
  2. Step 2: Convert to fraction form
    433.35/653.21 = 408.26/x
  3. Step 3: Cross multiply
    433.35x = 653.21 × 408.26
  4. Step 4: Simplify right side
    433.35x = 266,674.21
  5. Step 5: Solve for x
    x = 266,674.21/433.35
  6. Step 6: Final answer
    x = 615.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.