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Finding the Fourth Proportional to 739.02, 1,013.91 and 719.85

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Solution

The fourth proportional to 739.02, 1,013.91 and 719.85 is: 987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,013.91 = 719.85 : x
  2. Step 2: Convert to fraction form
    739.02/1,013.91 = 719.85/x
  3. Step 3: Cross multiply
    739.02x = 1,013.91 × 719.85
  4. Step 4: Simplify right side
    739.02x = 729,863.11
  5. Step 5: Solve for x
    x = 729,863.11/739.02
  6. Step 6: Final answer
    x = 987.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.