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Finding the Fourth Proportional to 529.34, 729.27 and 381.72

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Solution

The fourth proportional to 529.34, 729.27 and 381.72 is: 525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 729.27 = 381.72 : x
  2. Step 2: Convert to fraction form
    529.34/729.27 = 381.72/x
  3. Step 3: Cross multiply
    529.34x = 729.27 × 381.72
  4. Step 4: Simplify right side
    529.34x = 278,376.94
  5. Step 5: Solve for x
    x = 278,376.94/529.34
  6. Step 6: Final answer
    x = 525.90

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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.