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Finding the Fourth Proportional to 528.40, 729.40 and 331.96

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Solution

The fourth proportional to 528.40, 729.40 and 331.96 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.40 : 729.40 = 331.96 : x
  2. Step 2: Convert to fraction form
    528.40/729.40 = 331.96/x
  3. Step 3: Cross multiply
    528.40x = 729.40 × 331.96
  4. Step 4: Simplify right side
    528.40x = 242,131.62
  5. Step 5: Solve for x
    x = 242,131.62/528.40
  6. Step 6: Final answer
    x = 458.24

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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.