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Finding the Fourth Proportional to 739.40, 1,107.90 and 696.20

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Solution

The fourth proportional to 739.40, 1,107.90 and 696.20 is: 1,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,107.90 = 696.20 : x
  2. Step 2: Convert to fraction form
    739.40/1,107.90 = 696.20/x
  3. Step 3: Cross multiply
    739.40x = 1,107.90 × 696.20
  4. Step 4: Simplify right side
    739.40x = 771,319.98
  5. Step 5: Solve for x
    x = 771,319.98/739.40
  6. Step 6: Final answer
    x = 1,043.17

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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.