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Finding the Fourth Proportional to 1,206.05, 1,807.91 and 658.31

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Solution

The fourth proportional to 1,206.05, 1,807.91 and 658.31 is: 986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.05 : 1,807.91 = 658.31 : x
  2. Step 2: Convert to fraction form
    1,206.05/1,807.91 = 658.31/x
  3. Step 3: Cross multiply
    1,206.05x = 1,807.91 × 658.31
  4. Step 4: Simplify right side
    1,206.05x = 1,190,161.94
  5. Step 5: Solve for x
    x = 1,190,161.94/1,206.05
  6. Step 6: Final answer
    x = 986.83

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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.