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Finding the Fourth Proportional to 537, 805.90 and 393.09

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Solution

The fourth proportional to 537, 805.90 and 393.09 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 805.90 = 393.09 : x
  2. Step 2: Convert to fraction form
    537/805.90 = 393.09/x
  3. Step 3: Cross multiply
    537x = 805.90 × 393.09
  4. Step 4: Simplify right side
    537x = 316,791.23
  5. Step 5: Solve for x
    x = 316,791.23/537
  6. Step 6: Final answer
    x = 589.93

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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.