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Finding the Fourth Proportional to 739.20, 1,012.70 and 711.50

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Solution

The fourth proportional to 739.20, 1,012.70 and 711.50 is: 974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.20 : 1,012.70 = 711.50 : x
  2. Step 2: Convert to fraction form
    739.20/1,012.70 = 711.50/x
  3. Step 3: Cross multiply
    739.20x = 1,012.70 × 711.50
  4. Step 4: Simplify right side
    739.20x = 720,535.02
  5. Step 5: Solve for x
    x = 720,535.02/739.20
  6. Step 6: Final answer
    x = 974.75

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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.