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Finding the Fourth Proportional to 739.70, 1,102.20 and 711.80

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Solution

The fourth proportional to 739.70, 1,102.20 and 711.80 is: 1,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.70 : 1,102.20 = 711.80 : x
  2. Step 2: Convert to fraction form
    739.70/1,102.20 = 711.80/x
  3. Step 3: Cross multiply
    739.70x = 1,102.20 × 711.80
  4. Step 4: Simplify right side
    739.70x = 784,545.96
  5. Step 5: Solve for x
    x = 784,545.96/739.70
  6. Step 6: Final answer
    x = 1,060.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.