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Finding the Fourth Proportional to 699.89, 1,049.97 and 392.09

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Solution

The fourth proportional to 699.89, 1,049.97 and 392.09 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 1,049.97 = 392.09 : x
  2. Step 2: Convert to fraction form
    699.89/1,049.97 = 392.09/x
  3. Step 3: Cross multiply
    699.89x = 1,049.97 × 392.09
  4. Step 4: Simplify right side
    699.89x = 411,682.74
  5. Step 5: Solve for x
    x = 411,682.74/699.89
  6. Step 6: Final answer
    x = 588.21

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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.