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Finding the Fourth Proportional to 537, 803.97 and 353.84

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Solution

The fourth proportional to 537, 803.97 and 353.84 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 803.97 = 353.84 : x
  2. Step 2: Convert to fraction form
    537/803.97 = 353.84/x
  3. Step 3: Cross multiply
    537x = 803.97 × 353.84
  4. Step 4: Simplify right side
    537x = 284,472.72
  5. Step 5: Solve for x
    x = 284,472.72/537
  6. Step 6: Final answer
    x = 529.74

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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.