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Finding the Fourth Proportional to 433.24, 645.20 and 414.52

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Solution

The fourth proportional to 433.24, 645.20 and 414.52 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 645.20 = 414.52 : x
  2. Step 2: Convert to fraction form
    433.24/645.20 = 414.52/x
  3. Step 3: Cross multiply
    433.24x = 645.20 × 414.52
  4. Step 4: Simplify right side
    433.24x = 267,448.30
  5. Step 5: Solve for x
    x = 267,448.30/433.24
  6. Step 6: Final answer
    x = 617.32

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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.