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Finding the Fourth Proportional to 476.34, 653.85 and 422.72

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Solution

The fourth proportional to 476.34, 653.85 and 422.72 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.34 : 653.85 = 422.72 : x
  2. Step 2: Convert to fraction form
    476.34/653.85 = 422.72/x
  3. Step 3: Cross multiply
    476.34x = 653.85 × 422.72
  4. Step 4: Simplify right side
    476.34x = 276,390.09
  5. Step 5: Solve for x
    x = 276,390.09/476.34
  6. Step 6: Final answer
    x = 580.24

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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.