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Finding the Fourth Proportional to 849.30, 1,171.98 and 499.92

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Solution

The fourth proportional to 849.30, 1,171.98 and 499.92 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,171.98 = 499.92 : x
  2. Step 2: Convert to fraction form
    849.30/1,171.98 = 499.92/x
  3. Step 3: Cross multiply
    849.30x = 1,171.98 × 499.92
  4. Step 4: Simplify right side
    849.30x = 585,896.24
  5. Step 5: Solve for x
    x = 585,896.24/849.30
  6. Step 6: Final answer
    x = 689.86

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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.