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Finding the Fourth Proportional to 537.84, 806.16 and 383.76

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Solution

The fourth proportional to 537.84, 806.16 and 383.76 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.16 = 383.76 : x
  2. Step 2: Convert to fraction form
    537.84/806.16 = 383.76/x
  3. Step 3: Cross multiply
    537.84x = 806.16 × 383.76
  4. Step 4: Simplify right side
    537.84x = 309,371.96
  5. Step 5: Solve for x
    x = 309,371.96/537.84
  6. Step 6: Final answer
    x = 575.21

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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.