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Finding the Fourth Proportional to 537.86, 806.24 and 384.77

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Solution

The fourth proportional to 537.86, 806.24 and 384.77 is: 576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 806.24 = 384.77 : x
  2. Step 2: Convert to fraction form
    537.86/806.24 = 384.77/x
  3. Step 3: Cross multiply
    537.86x = 806.24 × 384.77
  4. Step 4: Simplify right side
    537.86x = 310,211.01
  5. Step 5: Solve for x
    x = 310,211.01/537.86
  6. Step 6: Final answer
    x = 576.76

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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.