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Finding the Fourth Proportional to 528.90, 729.59 and 371.46

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Solution

The fourth proportional to 528.90, 729.59 and 371.46 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.90 : 729.59 = 371.46 : x
  2. Step 2: Convert to fraction form
    528.90/729.59 = 371.46/x
  3. Step 3: Cross multiply
    528.90x = 729.59 × 371.46
  4. Step 4: Simplify right side
    528.90x = 271,014.38
  5. Step 5: Solve for x
    x = 271,014.38/528.90
  6. Step 6: Final answer
    x = 512.42

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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.