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Finding the Fourth Proportional to 529.60, 793.56 and 285.78

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Solution

The fourth proportional to 529.60, 793.56 and 285.78 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 793.56 = 285.78 : x
  2. Step 2: Convert to fraction form
    529.60/793.56 = 285.78/x
  3. Step 3: Cross multiply
    529.60x = 793.56 × 285.78
  4. Step 4: Simplify right side
    529.60x = 226,783.58
  5. Step 5: Solve for x
    x = 226,783.58/529.60
  6. Step 6: Final answer
    x = 428.22

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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.