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Finding the Fourth Proportional to 529.40, 729.06 and 381.80

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Solution

The fourth proportional to 529.40, 729.06 and 381.80 is: 525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 729.06 = 381.80 : x
  2. Step 2: Convert to fraction form
    529.40/729.06 = 381.80/x
  3. Step 3: Cross multiply
    529.40x = 729.06 × 381.80
  4. Step 4: Simplify right side
    529.40x = 278,355.11
  5. Step 5: Solve for x
    x = 278,355.11/529.40
  6. Step 6: Final answer
    x = 525.79

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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.