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Finding the Fourth Proportional to 529.07, 793.04 and 254.78

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Solution

The fourth proportional to 529.07, 793.04 and 254.78 is: 381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.07 : 793.04 = 254.78 : x
  2. Step 2: Convert to fraction form
    529.07/793.04 = 254.78/x
  3. Step 3: Cross multiply
    529.07x = 793.04 × 254.78
  4. Step 4: Simplify right side
    529.07x = 202,050.73
  5. Step 5: Solve for x
    x = 202,050.73/529.07
  6. Step 6: Final answer
    x = 381.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.