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Finding the Fourth Proportional to 475.84, 653.16 and 422.21

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Solution

The fourth proportional to 475.84, 653.16 and 422.21 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 653.16 = 422.21 : x
  2. Step 2: Convert to fraction form
    475.84/653.16 = 422.21/x
  3. Step 3: Cross multiply
    475.84x = 653.16 × 422.21
  4. Step 4: Simplify right side
    475.84x = 275,772.32
  5. Step 5: Solve for x
    x = 275,772.32/475.84
  6. Step 6: Final answer
    x = 579.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.