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Finding the Fourth Proportional to 696.19, 1,043.07 and 620.86

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Solution

The fourth proportional to 696.19, 1,043.07 and 620.86 is: 930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 1,043.07 = 620.86 : x
  2. Step 2: Convert to fraction form
    696.19/1,043.07 = 620.86/x
  3. Step 3: Cross multiply
    696.19x = 1,043.07 × 620.86
  4. Step 4: Simplify right side
    696.19x = 647,600.44
  5. Step 5: Solve for x
    x = 647,600.44/696.19
  6. Step 6: Final answer
    x = 930.21

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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.