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Finding the Fourth Proportional to 529.08, 729.92 and 371.94

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Solution

The fourth proportional to 529.08, 729.92 and 371.94 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.08 : 729.92 = 371.94 : x
  2. Step 2: Convert to fraction form
    529.08/729.92 = 371.94/x
  3. Step 3: Cross multiply
    529.08x = 729.92 × 371.94
  4. Step 4: Simplify right side
    529.08x = 271,484.59
  5. Step 5: Solve for x
    x = 271,484.59/529.08
  6. Step 6: Final answer
    x = 513.13

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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.