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Finding the Fourth Proportional to 537.60, 804.48 and 366.72

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Solution

The fourth proportional to 537.60, 804.48 and 366.72 is: 548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 804.48 = 366.72 : x
  2. Step 2: Convert to fraction form
    537.60/804.48 = 366.72/x
  3. Step 3: Cross multiply
    537.60x = 804.48 × 366.72
  4. Step 4: Simplify right side
    537.60x = 295,018.91
  5. Step 5: Solve for x
    x = 295,018.91/537.60
  6. Step 6: Final answer
    x = 548.77

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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.