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Finding the Fourth Proportional to 539, 743.82 and 384.02

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Solution

The fourth proportional to 539, 743.82 and 384.02 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539 : 743.82 = 384.02 : x
  2. Step 2: Convert to fraction form
    539/743.82 = 384.02/x
  3. Step 3: Cross multiply
    539x = 743.82 × 384.02
  4. Step 4: Simplify right side
    539x = 285,641.76
  5. Step 5: Solve for x
    x = 285,641.76/539
  6. Step 6: Final answer
    x = 529.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.