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Finding the Fourth Proportional to 537.78, 807.12 and 384

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Solution

The fourth proportional to 537.78, 807.12 and 384 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 807.12 = 384 : x
  2. Step 2: Convert to fraction form
    537.78/807.12 = 384/x
  3. Step 3: Cross multiply
    537.78x = 807.12 × 384
  4. Step 4: Simplify right side
    537.78x = 309,934.08
  5. Step 5: Solve for x
    x = 309,934.08/537.78
  6. Step 6: Final answer
    x = 576.32

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