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Finding the Fourth Proportional to 538.35, 805.41 and 429

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Solution

The fourth proportional to 538.35, 805.41 and 429 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.35 : 805.41 = 429 : x
  2. Step 2: Convert to fraction form
    538.35/805.41 = 429/x
  3. Step 3: Cross multiply
    538.35x = 805.41 × 429
  4. Step 4: Simplify right side
    538.35x = 345,520.89
  5. Step 5: Solve for x
    x = 345,520.89/538.35
  6. Step 6: Final answer
    x = 641.81

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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.