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Finding the Fourth Proportional to 739.02, 1,107.45 and 658.02

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Solution

The fourth proportional to 739.02, 1,107.45 and 658.02 is: 986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,107.45 = 658.02 : x
  2. Step 2: Convert to fraction form
    739.02/1,107.45 = 658.02/x
  3. Step 3: Cross multiply
    739.02x = 1,107.45 × 658.02
  4. Step 4: Simplify right side
    739.02x = 728,724.25
  5. Step 5: Solve for x
    x = 728,724.25/739.02
  6. Step 6: Final answer
    x = 986.07

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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.