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Finding the Fourth Proportional to 433.40, 649.18 and 402.42

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Solution

The fourth proportional to 433.40, 649.18 and 402.42 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 649.18 = 402.42 : x
  2. Step 2: Convert to fraction form
    433.40/649.18 = 402.42/x
  3. Step 3: Cross multiply
    433.40x = 649.18 × 402.42
  4. Step 4: Simplify right side
    433.40x = 261,242.30
  5. Step 5: Solve for x
    x = 261,242.30/433.40
  6. Step 6: Final answer
    x = 602.77

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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.