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Finding the Fourth Proportional to 529.39, 729.41 and 354.43

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Solution

The fourth proportional to 529.39, 729.41 and 354.43 is: 488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.39 : 729.41 = 354.43 : x
  2. Step 2: Convert to fraction form
    529.39/729.41 = 354.43/x
  3. Step 3: Cross multiply
    529.39x = 729.41 × 354.43
  4. Step 4: Simplify right side
    529.39x = 258,524.79
  5. Step 5: Solve for x
    x = 258,524.79/529.39
  6. Step 6: Final answer
    x = 488.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.