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Finding the Fourth Proportional to 433.84, 649.68 and 422.16

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Solution

The fourth proportional to 433.84, 649.68 and 422.16 is: 632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 649.68 = 422.16 : x
  2. Step 2: Convert to fraction form
    433.84/649.68 = 422.16/x
  3. Step 3: Cross multiply
    433.84x = 649.68 × 422.16
  4. Step 4: Simplify right side
    433.84x = 274,268.91
  5. Step 5: Solve for x
    x = 274,268.91/433.84
  6. Step 6: Final answer
    x = 632.19

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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.