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Finding the Fourth Proportional to 422.72, 637.40 and 359

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Solution

The fourth proportional to 422.72, 637.40 and 359 is: 541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 637.40 = 359 : x
  2. Step 2: Convert to fraction form
    422.72/637.40 = 359/x
  3. Step 3: Cross multiply
    422.72x = 637.40 × 359
  4. Step 4: Simplify right side
    422.72x = 228,826.60
  5. Step 5: Solve for x
    x = 228,826.60/422.72
  6. Step 6: Final answer
    x = 541.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.