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Finding the Fourth Proportional to 591, 882.92 and 493.80

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Solution

The fourth proportional to 591, 882.92 and 493.80 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 882.92 = 493.80 : x
  2. Step 2: Convert to fraction form
    591/882.92 = 493.80/x
  3. Step 3: Cross multiply
    591x = 882.92 × 493.80
  4. Step 4: Simplify right side
    591x = 435,985.90
  5. Step 5: Solve for x
    x = 435,985.90/591
  6. Step 6: Final answer
    x = 737.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.