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Finding the Fourth Proportional to 476.09, 653.50 and 422.46

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Solution

The fourth proportional to 476.09, 653.50 and 422.46 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 653.50 = 422.46 : x
  2. Step 2: Convert to fraction form
    476.09/653.50 = 422.46/x
  3. Step 3: Cross multiply
    476.09x = 653.50 × 422.46
  4. Step 4: Simplify right side
    476.09x = 276,080.30
  5. Step 5: Solve for x
    x = 276,080.30/476.09
  6. Step 6: Final answer
    x = 579.89

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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.